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Finding the Fourth Proportional to 237.66, 356.23 and 83.53

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Solution

The fourth proportional to 237.66, 356.23 and 83.53 is: 125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.66 : 356.23 = 83.53 : x
  2. Step 2: Convert to fraction form
    237.66/356.23 = 83.53/x
  3. Step 3: Cross multiply
    237.66x = 356.23 × 83.53
  4. Step 4: Simplify right side
    237.66x = 29,755.89
  5. Step 5: Solve for x
    x = 29,755.89/237.66
  6. Step 6: Final answer
    x = 125.20

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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.