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Finding the Fourth Proportional to 291, 435.91 and 136.71

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Solution

The fourth proportional to 291, 435.91 and 136.71 is: 204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291 : 435.91 = 136.71 : x
  2. Step 2: Convert to fraction form
    291/435.91 = 136.71/x
  3. Step 3: Cross multiply
    291x = 435.91 × 136.71
  4. Step 4: Simplify right side
    291x = 59,593.26
  5. Step 5: Solve for x
    x = 59,593.26/291
  6. Step 6: Final answer
    x = 204.79

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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.