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Finding the Fourth Proportional to 157.71, 237.50 and 137.66

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Solution

The fourth proportional to 157.71, 237.50 and 137.66 is: 207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.71 : 237.50 = 137.66 : x
  2. Step 2: Convert to fraction form
    157.71/237.50 = 137.66/x
  3. Step 3: Cross multiply
    157.71x = 237.50 × 137.66
  4. Step 4: Simplify right side
    157.71x = 32,692.37
  5. Step 5: Solve for x
    x = 32,692.37/157.71
  6. Step 6: Final answer
    x = 207.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.