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Finding the Fourth Proportional to 178.12, 267.20 and 56.36

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Solution

The fourth proportional to 178.12, 267.20 and 56.36 is: 84.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.12 : 267.20 = 56.36 : x
  2. Step 2: Convert to fraction form
    178.12/267.20 = 56.36/x
  3. Step 3: Cross multiply
    178.12x = 267.20 × 56.36
  4. Step 4: Simplify right side
    178.12x = 15,059.39
  5. Step 5: Solve for x
    x = 15,059.39/178.12
  6. Step 6: Final answer
    x = 84.55

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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.