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Finding the Fourth Proportional to 178.52, 246.35 and 104.83

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Solution

The fourth proportional to 178.52, 246.35 and 104.83 is: 144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.52 : 246.35 = 104.83 : x
  2. Step 2: Convert to fraction form
    178.52/246.35 = 104.83/x
  3. Step 3: Cross multiply
    178.52x = 246.35 × 104.83
  4. Step 4: Simplify right side
    178.52x = 25,824.52
  5. Step 5: Solve for x
    x = 25,824.52/178.52
  6. Step 6: Final answer
    x = 144.66

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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.