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Finding the Fourth Proportional to 202.99, 304.74 and 100.37

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Solution

The fourth proportional to 202.99, 304.74 and 100.37 is: 150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 304.74 = 100.37 : x
  2. Step 2: Convert to fraction form
    202.99/304.74 = 100.37/x
  3. Step 3: Cross multiply
    202.99x = 304.74 × 100.37
  4. Step 4: Simplify right side
    202.99x = 30,586.75
  5. Step 5: Solve for x
    x = 30,586.75/202.99
  6. Step 6: Final answer
    x = 150.68

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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.