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Finding the Fourth Proportional to 261.72, 363.52 and 254.43

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Solution

The fourth proportional to 261.72, 363.52 and 254.43 is: 353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.72 : 363.52 = 254.43 : x
  2. Step 2: Convert to fraction form
    261.72/363.52 = 254.43/x
  3. Step 3: Cross multiply
    261.72x = 363.52 × 254.43
  4. Step 4: Simplify right side
    261.72x = 92,490.71
  5. Step 5: Solve for x
    x = 92,490.71/261.72
  6. Step 6: Final answer
    x = 353.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.