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Finding the Fourth Proportional to 237.62, 356.90 and 146.49

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Solution

The fourth proportional to 237.62, 356.90 and 146.49 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.62 : 356.90 = 146.49 : x
  2. Step 2: Convert to fraction form
    237.62/356.90 = 146.49/x
  3. Step 3: Cross multiply
    237.62x = 356.90 × 146.49
  4. Step 4: Simplify right side
    237.62x = 52,282.28
  5. Step 5: Solve for x
    x = 52,282.28/237.62
  6. Step 6: Final answer
    x = 220.02

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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.