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Finding the Fourth Proportional to 169.24, 253.86 and 137.38

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Solution

The fourth proportional to 169.24, 253.86 and 137.38 is: 206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.24 : 253.86 = 137.38 : x
  2. Step 2: Convert to fraction form
    169.24/253.86 = 137.38/x
  3. Step 3: Cross multiply
    169.24x = 253.86 × 137.38
  4. Step 4: Simplify right side
    169.24x = 34,875.29
  5. Step 5: Solve for x
    x = 34,875.29/169.24
  6. Step 6: Final answer
    x = 206.07

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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.