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Finding the Fourth Proportional to 268.52, 370.82 and 229.48

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Solution

The fourth proportional to 268.52, 370.82 and 229.48 is: 316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.52 : 370.82 = 229.48 : x
  2. Step 2: Convert to fraction form
    268.52/370.82 = 229.48/x
  3. Step 3: Cross multiply
    268.52x = 370.82 × 229.48
  4. Step 4: Simplify right side
    268.52x = 85,095.77
  5. Step 5: Solve for x
    x = 85,095.77/268.52
  6. Step 6: Final answer
    x = 316.91

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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.