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Finding the Fourth Proportional to 749.99, 1,125.05 and 202.21

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Solution

The fourth proportional to 749.99, 1,125.05 and 202.21 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.99 : 1,125.05 = 202.21 : x
  2. Step 2: Convert to fraction form
    749.99/1,125.05 = 202.21/x
  3. Step 3: Cross multiply
    749.99x = 1,125.05 × 202.21
  4. Step 4: Simplify right side
    749.99x = 227,494.05
  5. Step 5: Solve for x
    x = 227,494.05/749.99
  6. Step 6: Final answer
    x = 303.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.