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Finding the Fourth Proportional to 178.44, 267.70 and 97.26

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Solution

The fourth proportional to 178.44, 267.70 and 97.26 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 267.70 = 97.26 : x
  2. Step 2: Convert to fraction form
    178.44/267.70 = 97.26/x
  3. Step 3: Cross multiply
    178.44x = 267.70 × 97.26
  4. Step 4: Simplify right side
    178.44x = 26,036.50
  5. Step 5: Solve for x
    x = 26,036.50/178.44
  6. Step 6: Final answer
    x = 145.91

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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.