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Finding the Fourth Proportional to 178.70, 268.04 and 97.56

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Solution

The fourth proportional to 178.70, 268.04 and 97.56 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.70 : 268.04 = 97.56 : x
  2. Step 2: Convert to fraction form
    178.70/268.04 = 97.56/x
  3. Step 3: Cross multiply
    178.70x = 268.04 × 97.56
  4. Step 4: Simplify right side
    178.70x = 26,150.23
  5. Step 5: Solve for x
    x = 26,150.23/178.70
  6. Step 6: Final answer
    x = 146.34

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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.