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Finding the Fourth Proportional to 237.70, 356.31 and 146.38

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Solution

The fourth proportional to 237.70, 356.31 and 146.38 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.70 : 356.31 = 146.38 : x
  2. Step 2: Convert to fraction form
    237.70/356.31 = 146.38/x
  3. Step 3: Cross multiply
    237.70x = 356.31 × 146.38
  4. Step 4: Simplify right side
    237.70x = 52,156.66
  5. Step 5: Solve for x
    x = 52,156.66/237.70
  6. Step 6: Final answer
    x = 219.42

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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.