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Finding the Fourth Proportional to 254.10, 348.09 and 232.23

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Solution

The fourth proportional to 254.10, 348.09 and 232.23 is: 318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.10 : 348.09 = 232.23 : x
  2. Step 2: Convert to fraction form
    254.10/348.09 = 232.23/x
  3. Step 3: Cross multiply
    254.10x = 348.09 × 232.23
  4. Step 4: Simplify right side
    254.10x = 80,836.94
  5. Step 5: Solve for x
    x = 80,836.94/254.10
  6. Step 6: Final answer
    x = 318.13

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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.