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Finding the Fourth Proportional to 750.21, 1,125.24 and 202.35

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Solution

The fourth proportional to 750.21, 1,125.24 and 202.35 is: 303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.21 : 1,125.24 = 202.35 : x
  2. Step 2: Convert to fraction form
    750.21/1,125.24 = 202.35/x
  3. Step 3: Cross multiply
    750.21x = 1,125.24 × 202.35
  4. Step 4: Simplify right side
    750.21x = 227,692.31
  5. Step 5: Solve for x
    x = 227,692.31/750.21
  6. Step 6: Final answer
    x = 303.50

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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.