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Finding the Fourth Proportional to 178.92, 268.32 and 96.66

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Solution

The fourth proportional to 178.92, 268.32 and 96.66 is: 144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.92 : 268.32 = 96.66 : x
  2. Step 2: Convert to fraction form
    178.92/268.32 = 96.66/x
  3. Step 3: Cross multiply
    178.92x = 268.32 × 96.66
  4. Step 4: Simplify right side
    178.92x = 25,935.81
  5. Step 5: Solve for x
    x = 25,935.81/178.92
  6. Step 6: Final answer
    x = 144.96

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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.