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Finding the Fourth Proportional to 486.75, 730.18 and 178.63

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Solution

The fourth proportional to 486.75, 730.18 and 178.63 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.75 : 730.18 = 178.63 : x
  2. Step 2: Convert to fraction form
    486.75/730.18 = 178.63/x
  3. Step 3: Cross multiply
    486.75x = 730.18 × 178.63
  4. Step 4: Simplify right side
    486.75x = 130,432.05
  5. Step 5: Solve for x
    x = 130,432.05/486.75
  6. Step 6: Final answer
    x = 267.97

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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.