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Finding the Fourth Proportional to 286.18, 429.42 and 170.71

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Solution

The fourth proportional to 286.18, 429.42 and 170.71 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.18 : 429.42 = 170.71 : x
  2. Step 2: Convert to fraction form
    286.18/429.42 = 170.71/x
  3. Step 3: Cross multiply
    286.18x = 429.42 × 170.71
  4. Step 4: Simplify right side
    286.18x = 73,306.29
  5. Step 5: Solve for x
    x = 73,306.29/286.18
  6. Step 6: Final answer
    x = 256.15

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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.