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Finding the Fourth Proportional to 158.26, 237.45 and 77.10

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Solution

The fourth proportional to 158.26, 237.45 and 77.10 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.26 : 237.45 = 77.10 : x
  2. Step 2: Convert to fraction form
    158.26/237.45 = 77.10/x
  3. Step 3: Cross multiply
    158.26x = 237.45 × 77.10
  4. Step 4: Simplify right side
    158.26x = 18,307.40
  5. Step 5: Solve for x
    x = 18,307.40/158.26
  6. Step 6: Final answer
    x = 115.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.