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Finding the Fourth Proportional to 280.20, 386.52 and 176.76

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Solution

The fourth proportional to 280.20, 386.52 and 176.76 is: 243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 386.52 = 176.76 : x
  2. Step 2: Convert to fraction form
    280.20/386.52 = 176.76/x
  3. Step 3: Cross multiply
    280.20x = 386.52 × 176.76
  4. Step 4: Simplify right side
    280.20x = 68,321.28
  5. Step 5: Solve for x
    x = 68,321.28/280.20
  6. Step 6: Final answer
    x = 243.83

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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.