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Finding the Fourth Proportional to 178.44, 267.65 and 56.70

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Solution

The fourth proportional to 178.44, 267.65 and 56.70 is: 85.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 267.65 = 56.70 : x
  2. Step 2: Convert to fraction form
    178.44/267.65 = 56.70/x
  3. Step 3: Cross multiply
    178.44x = 267.65 × 56.70
  4. Step 4: Simplify right side
    178.44x = 15,175.68
  5. Step 5: Solve for x
    x = 15,175.68/178.44
  6. Step 6: Final answer
    x = 85.05

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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.