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Finding the Fourth Proportional to 261.97, 393.09 and 117.66

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Solution

The fourth proportional to 261.97, 393.09 and 117.66 is: 176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.97 : 393.09 = 117.66 : x
  2. Step 2: Convert to fraction form
    261.97/393.09 = 117.66/x
  3. Step 3: Cross multiply
    261.97x = 393.09 × 117.66
  4. Step 4: Simplify right side
    261.97x = 46,250.97
  5. Step 5: Solve for x
    x = 46,250.97/261.97
  6. Step 6: Final answer
    x = 176.55

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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.