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Finding the Fourth Proportional to 178.60, 267.84 and 97.40

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Solution

The fourth proportional to 178.60, 267.84 and 97.40 is: 146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.60 : 267.84 = 97.40 : x
  2. Step 2: Convert to fraction form
    178.60/267.84 = 97.40/x
  3. Step 3: Cross multiply
    178.60x = 267.84 × 97.40
  4. Step 4: Simplify right side
    178.60x = 26,087.62
  5. Step 5: Solve for x
    x = 26,087.62/178.60
  6. Step 6: Final answer
    x = 146.07

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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.