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Finding the Fourth Proportional to 254.34, 348.71 and 254.07

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Solution

The fourth proportional to 254.34, 348.71 and 254.07 is: 348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 348.71 = 254.07 : x
  2. Step 2: Convert to fraction form
    254.34/348.71 = 254.07/x
  3. Step 3: Cross multiply
    254.34x = 348.71 × 254.07
  4. Step 4: Simplify right side
    254.34x = 88,595.48
  5. Step 5: Solve for x
    x = 88,595.48/254.34
  6. Step 6: Final answer
    x = 348.33

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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.