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Finding the Fourth Proportional to 291.24, 401.91 and 180.71

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Solution

The fourth proportional to 291.24, 401.91 and 180.71 is: 249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 401.91 = 180.71 : x
  2. Step 2: Convert to fraction form
    291.24/401.91 = 180.71/x
  3. Step 3: Cross multiply
    291.24x = 401.91 × 180.71
  4. Step 4: Simplify right side
    291.24x = 72,627.15
  5. Step 5: Solve for x
    x = 72,627.15/291.24
  6. Step 6: Final answer
    x = 249.37

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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.