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Finding the Fourth Proportional to 280.25, 386.84 and 176.75

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Solution

The fourth proportional to 280.25, 386.84 and 176.75 is: 243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.25 : 386.84 = 176.75 : x
  2. Step 2: Convert to fraction form
    280.25/386.84 = 176.75/x
  3. Step 3: Cross multiply
    280.25x = 386.84 × 176.75
  4. Step 4: Simplify right side
    280.25x = 68,373.97
  5. Step 5: Solve for x
    x = 68,373.97/280.25
  6. Step 6: Final answer
    x = 243.97

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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.