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Finding the Fourth Proportional to 169.29, 253.67 and 123.42

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Solution

The fourth proportional to 169.29, 253.67 and 123.42 is: 184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 253.67 = 123.42 : x
  2. Step 2: Convert to fraction form
    169.29/253.67 = 123.42/x
  3. Step 3: Cross multiply
    169.29x = 253.67 × 123.42
  4. Step 4: Simplify right side
    169.29x = 31,308.29
  5. Step 5: Solve for x
    x = 31,308.29/169.29
  6. Step 6: Final answer
    x = 184.94

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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.