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Finding the Fourth Proportional to 237.53, 354.90 and 175.56

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Solution

The fourth proportional to 237.53, 354.90 and 175.56 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.53 : 354.90 = 175.56 : x
  2. Step 2: Convert to fraction form
    237.53/354.90 = 175.56/x
  3. Step 3: Cross multiply
    237.53x = 354.90 × 175.56
  4. Step 4: Simplify right side
    237.53x = 62,306.24
  5. Step 5: Solve for x
    x = 62,306.24/237.53
  6. Step 6: Final answer
    x = 262.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.