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Finding the Fourth Proportional to 178.64, 268 and 97.44

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Solution

The fourth proportional to 178.64, 268 and 97.44 is: 146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.64 : 268 = 97.44 : x
  2. Step 2: Convert to fraction form
    178.64/268 = 97.44/x
  3. Step 3: Cross multiply
    178.64x = 268 × 97.44
  4. Step 4: Simplify right side
    178.64x = 26,113.92
  5. Step 5: Solve for x
    x = 26,113.92/178.64
  6. Step 6: Final answer
    x = 146.18

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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.