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Finding the Fourth Proportional to 261.76, 392.96 and 213.44

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Solution

The fourth proportional to 261.76, 392.96 and 213.44 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 392.96 = 213.44 : x
  2. Step 2: Convert to fraction form
    261.76/392.96 = 213.44/x
  3. Step 3: Cross multiply
    261.76x = 392.96 × 213.44
  4. Step 4: Simplify right side
    261.76x = 83,873.38
  5. Step 5: Solve for x
    x = 83,873.38/261.76
  6. Step 6: Final answer
    x = 320.42

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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.