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Finding the Fourth Proportional to 291.67, 402.71 and 193.59

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Solution

The fourth proportional to 291.67, 402.71 and 193.59 is: 267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.67 : 402.71 = 193.59 : x
  2. Step 2: Convert to fraction form
    291.67/402.71 = 193.59/x
  3. Step 3: Cross multiply
    291.67x = 402.71 × 193.59
  4. Step 4: Simplify right side
    291.67x = 77,959.66
  5. Step 5: Solve for x
    x = 77,959.66/291.67
  6. Step 6: Final answer
    x = 267.29

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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.