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Finding the Fourth Proportional to 237.70, 356.38 and 100.56

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Solution

The fourth proportional to 237.70, 356.38 and 100.56 is: 150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.70 : 356.38 = 100.56 : x
  2. Step 2: Convert to fraction form
    237.70/356.38 = 100.56/x
  3. Step 3: Cross multiply
    237.70x = 356.38 × 100.56
  4. Step 4: Simplify right side
    237.70x = 35,837.57
  5. Step 5: Solve for x
    x = 35,837.57/237.70
  6. Step 6: Final answer
    x = 150.77

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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.