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Finding the Fourth Proportional to 237.28, 355.84 and 66.24

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Solution

The fourth proportional to 237.28, 355.84 and 66.24 is: 99.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.28 : 355.84 = 66.24 : x
  2. Step 2: Convert to fraction form
    237.28/355.84 = 66.24/x
  3. Step 3: Cross multiply
    237.28x = 355.84 × 66.24
  4. Step 4: Simplify right side
    237.28x = 23,570.84
  5. Step 5: Solve for x
    x = 23,570.84/237.28
  6. Step 6: Final answer
    x = 99.34

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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.