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Finding the Fourth Proportional to 178.60, 267.76 and 97.42

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Solution

The fourth proportional to 178.60, 267.76 and 97.42 is: 146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.60 : 267.76 = 97.42 : x
  2. Step 2: Convert to fraction form
    178.60/267.76 = 97.42/x
  3. Step 3: Cross multiply
    178.60x = 267.76 × 97.42
  4. Step 4: Simplify right side
    178.60x = 26,085.18
  5. Step 5: Solve for x
    x = 26,085.18/178.60
  6. Step 6: Final answer
    x = 146.05

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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.