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Finding the Fourth Proportional to 169.67, 253.29 and 143.82

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Solution

The fourth proportional to 169.67, 253.29 and 143.82 is: 214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.67 : 253.29 = 143.82 : x
  2. Step 2: Convert to fraction form
    169.67/253.29 = 143.82/x
  3. Step 3: Cross multiply
    169.67x = 253.29 × 143.82
  4. Step 4: Simplify right side
    169.67x = 36,428.17
  5. Step 5: Solve for x
    x = 36,428.17/169.67
  6. Step 6: Final answer
    x = 214.71

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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.