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Finding the Fourth Proportional to 150.24, 206.91 and 115.14

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Solution

The fourth proportional to 150.24, 206.91 and 115.14 is: 158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.24 : 206.91 = 115.14 : x
  2. Step 2: Convert to fraction form
    150.24/206.91 = 115.14/x
  3. Step 3: Cross multiply
    150.24x = 206.91 × 115.14
  4. Step 4: Simplify right side
    150.24x = 23,823.62
  5. Step 5: Solve for x
    x = 23,823.62/150.24
  6. Step 6: Final answer
    x = 158.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.