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Finding the Fourth Proportional to 261.79, 392.17 and 213.09

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Solution

The fourth proportional to 261.79, 392.17 and 213.09 is: 319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.79 : 392.17 = 213.09 : x
  2. Step 2: Convert to fraction form
    261.79/392.17 = 213.09/x
  3. Step 3: Cross multiply
    261.79x = 392.17 × 213.09
  4. Step 4: Simplify right side
    261.79x = 83,566.97
  5. Step 5: Solve for x
    x = 83,566.97/261.79
  6. Step 6: Final answer
    x = 319.22

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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.