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Finding the Fourth Proportional to 178.53, 267.55 and 87.06

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Solution

The fourth proportional to 178.53, 267.55 and 87.06 is: 130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.53 : 267.55 = 87.06 : x
  2. Step 2: Convert to fraction form
    178.53/267.55 = 87.06/x
  3. Step 3: Cross multiply
    178.53x = 267.55 × 87.06
  4. Step 4: Simplify right side
    178.53x = 23,292.90
  5. Step 5: Solve for x
    x = 23,292.90/178.53
  6. Step 6: Final answer
    x = 130.47

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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.