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Finding the Fourth Proportional to 262.52, 392.97 and 171.02

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Solution

The fourth proportional to 262.52, 392.97 and 171.02 is: 256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.52 : 392.97 = 171.02 : x
  2. Step 2: Convert to fraction form
    262.52/392.97 = 171.02/x
  3. Step 3: Cross multiply
    262.52x = 392.97 × 171.02
  4. Step 4: Simplify right side
    262.52x = 67,205.73
  5. Step 5: Solve for x
    x = 67,205.73/262.52
  6. Step 6: Final answer
    x = 256.00

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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.