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Finding the Fourth Proportional to 254.10, 349.17 and 254.10

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Solution

The fourth proportional to 254.10, 349.17 and 254.10 is: 349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.10 : 349.17 = 254.10 : x
  2. Step 2: Convert to fraction form
    254.10/349.17 = 254.10/x
  3. Step 3: Cross multiply
    254.10x = 349.17 × 254.10
  4. Step 4: Simplify right side
    254.10x = 88,724.10
  5. Step 5: Solve for x
    x = 88,724.10/254.10
  6. Step 6: Final answer
    x = 349.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.