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Finding the Fourth Proportional to 254.17, 380.98 and 138.48

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Solution

The fourth proportional to 254.17, 380.98 and 138.48 is: 207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.17 : 380.98 = 138.48 : x
  2. Step 2: Convert to fraction form
    254.17/380.98 = 138.48/x
  3. Step 3: Cross multiply
    254.17x = 380.98 × 138.48
  4. Step 4: Simplify right side
    254.17x = 52,758.11
  5. Step 5: Solve for x
    x = 52,758.11/254.17
  6. Step 6: Final answer
    x = 207.57

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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.