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Finding the Fourth Proportional to 237.34, 355.85 and 83.25

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Solution

The fourth proportional to 237.34, 355.85 and 83.25 is: 124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.34 : 355.85 = 83.25 : x
  2. Step 2: Convert to fraction form
    237.34/355.85 = 83.25/x
  3. Step 3: Cross multiply
    237.34x = 355.85 × 83.25
  4. Step 4: Simplify right side
    237.34x = 29,624.51
  5. Step 5: Solve for x
    x = 29,624.51/237.34
  6. Step 6: Final answer
    x = 124.82

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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.