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Finding the Fourth Proportional to 287.97, 431.97 and 82.53

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Solution

The fourth proportional to 287.97, 431.97 and 82.53 is: 123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.97 : 431.97 = 82.53 : x
  2. Step 2: Convert to fraction form
    287.97/431.97 = 82.53/x
  3. Step 3: Cross multiply
    287.97x = 431.97 × 82.53
  4. Step 4: Simplify right side
    287.97x = 35,650.48
  5. Step 5: Solve for x
    x = 35,650.48/287.97
  6. Step 6: Final answer
    x = 123.80

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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.