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Finding the Fourth Proportional to 178.06, 267.10 and 56.32

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Solution

The fourth proportional to 178.06, 267.10 and 56.32 is: 84.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.06 : 267.10 = 56.32 : x
  2. Step 2: Convert to fraction form
    178.06/267.10 = 56.32/x
  3. Step 3: Cross multiply
    178.06x = 267.10 × 56.32
  4. Step 4: Simplify right side
    178.06x = 15,042.79
  5. Step 5: Solve for x
    x = 15,042.79/178.06
  6. Step 6: Final answer
    x = 84.48

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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.