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Finding the Fourth Proportional to 280.75, 387.53 and 177.25

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Solution

The fourth proportional to 280.75, 387.53 and 177.25 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.75 : 387.53 = 177.25 : x
  2. Step 2: Convert to fraction form
    280.75/387.53 = 177.25/x
  3. Step 3: Cross multiply
    280.75x = 387.53 × 177.25
  4. Step 4: Simplify right side
    280.75x = 68,689.69
  5. Step 5: Solve for x
    x = 68,689.69/280.75
  6. Step 6: Final answer
    x = 244.66

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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.