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Finding the Fourth Proportional to 158.60, 237.78 and 77.37

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Solution

The fourth proportional to 158.60, 237.78 and 77.37 is: 116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.60 : 237.78 = 77.37 : x
  2. Step 2: Convert to fraction form
    158.60/237.78 = 77.37/x
  3. Step 3: Cross multiply
    158.60x = 237.78 × 77.37
  4. Step 4: Simplify right side
    158.60x = 18,397.04
  5. Step 5: Solve for x
    x = 18,397.04/158.60
  6. Step 6: Final answer
    x = 116.00

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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.