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Finding the Fourth Proportional to 251.97, 346.98 and 215.11

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Solution

The fourth proportional to 251.97, 346.98 and 215.11 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.97 : 346.98 = 215.11 : x
  2. Step 2: Convert to fraction form
    251.97/346.98 = 215.11/x
  3. Step 3: Cross multiply
    251.97x = 346.98 × 215.11
  4. Step 4: Simplify right side
    251.97x = 74,638.87
  5. Step 5: Solve for x
    x = 74,638.87/251.97
  6. Step 6: Final answer
    x = 296.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.