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Finding the Fourth Proportional to 178.80, 246.80 and 104.13

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Solution

The fourth proportional to 178.80, 246.80 and 104.13 is: 143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 246.80 = 104.13 : x
  2. Step 2: Convert to fraction form
    178.80/246.80 = 104.13/x
  3. Step 3: Cross multiply
    178.80x = 246.80 × 104.13
  4. Step 4: Simplify right side
    178.80x = 25,700.08
  5. Step 5: Solve for x
    x = 25,700.08/178.80
  6. Step 6: Final answer
    x = 143.74

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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.