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Finding the Fourth Proportional to 178.53, 268.20 and 97.34

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Solution

The fourth proportional to 178.53, 268.20 and 97.34 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.53 : 268.20 = 97.34 : x
  2. Step 2: Convert to fraction form
    178.53/268.20 = 97.34/x
  3. Step 3: Cross multiply
    178.53x = 268.20 × 97.34
  4. Step 4: Simplify right side
    178.53x = 26,105.25
  5. Step 5: Solve for x
    x = 26,105.25/178.53
  6. Step 6: Final answer
    x = 146.22

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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.