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Finding the Fourth Proportional to 195.17, 291.33 and 180.71

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Solution

The fourth proportional to 195.17, 291.33 and 180.71 is: 269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.17 : 291.33 = 180.71 : x
  2. Step 2: Convert to fraction form
    195.17/291.33 = 180.71/x
  3. Step 3: Cross multiply
    195.17x = 291.33 × 180.71
  4. Step 4: Simplify right side
    195.17x = 52,644.79
  5. Step 5: Solve for x
    x = 52,644.79/195.17
  6. Step 6: Final answer
    x = 269.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.