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Finding the Fourth Proportional to 158.50, 237.79 and 77.39

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Solution

The fourth proportional to 158.50, 237.79 and 77.39 is: 116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.50 : 237.79 = 77.39 : x
  2. Step 2: Convert to fraction form
    158.50/237.79 = 77.39/x
  3. Step 3: Cross multiply
    158.50x = 237.79 × 77.39
  4. Step 4: Simplify right side
    158.50x = 18,401.57
  5. Step 5: Solve for x
    x = 18,401.57/158.50
  6. Step 6: Final answer
    x = 116.10

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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.