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Finding the Fourth Proportional to 178.92, 246.80 and 146.12

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Solution

The fourth proportional to 178.92, 246.80 and 146.12 is: 201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.92 : 246.80 = 146.12 : x
  2. Step 2: Convert to fraction form
    178.92/246.80 = 146.12/x
  3. Step 3: Cross multiply
    178.92x = 246.80 × 146.12
  4. Step 4: Simplify right side
    178.92x = 36,060.45
  5. Step 5: Solve for x
    x = 36,060.45/178.92
  6. Step 6: Final answer
    x = 201.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.