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Finding the Fourth Proportional to 237.10, 355.56 and 83

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Solution

The fourth proportional to 237.10, 355.56 and 83 is: 124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.10 : 355.56 = 83 : x
  2. Step 2: Convert to fraction form
    237.10/355.56 = 83/x
  3. Step 3: Cross multiply
    237.10x = 355.56 × 83
  4. Step 4: Simplify right side
    237.10x = 29,511.48
  5. Step 5: Solve for x
    x = 29,511.48/237.10
  6. Step 6: Final answer
    x = 124.47

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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.