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Finding the Fourth Proportional to 261.67, 392.51 and 166.09

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Solution

The fourth proportional to 261.67, 392.51 and 166.09 is: 249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.67 : 392.51 = 166.09 : x
  2. Step 2: Convert to fraction form
    261.67/392.51 = 166.09/x
  3. Step 3: Cross multiply
    261.67x = 392.51 × 166.09
  4. Step 4: Simplify right side
    261.67x = 65,191.99
  5. Step 5: Solve for x
    x = 65,191.99/261.67
  6. Step 6: Final answer
    x = 249.14

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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.