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Finding the Fourth Proportional to 237.70, 356.30 and 107.77

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Solution

The fourth proportional to 237.70, 356.30 and 107.77 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.70 : 356.30 = 107.77 : x
  2. Step 2: Convert to fraction form
    237.70/356.30 = 107.77/x
  3. Step 3: Cross multiply
    237.70x = 356.30 × 107.77
  4. Step 4: Simplify right side
    237.70x = 38,397.91
  5. Step 5: Solve for x
    x = 38,397.91/237.70
  6. Step 6: Final answer
    x = 161.54

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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.