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Finding the Fourth Proportional to 178.24, 267.44 and 106.16

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Solution

The fourth proportional to 178.24, 267.44 and 106.16 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 267.44 = 106.16 : x
  2. Step 2: Convert to fraction form
    178.24/267.44 = 106.16/x
  3. Step 3: Cross multiply
    178.24x = 267.44 × 106.16
  4. Step 4: Simplify right side
    178.24x = 28,391.43
  5. Step 5: Solve for x
    x = 28,391.43/178.24
  6. Step 6: Final answer
    x = 159.29

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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.