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Finding the Fourth Proportional to 253.97, 380.78 and 171.50

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Solution

The fourth proportional to 253.97, 380.78 and 171.50 is: 257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 380.78 = 171.50 : x
  2. Step 2: Convert to fraction form
    253.97/380.78 = 171.50/x
  3. Step 3: Cross multiply
    253.97x = 380.78 × 171.50
  4. Step 4: Simplify right side
    253.97x = 65,305.16
  5. Step 5: Solve for x
    x = 65,305.16/253.97
  6. Step 6: Final answer
    x = 257.13

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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.