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Finding the Fourth Proportional to 165.71, 247.51 and 129.26

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Solution

The fourth proportional to 165.71, 247.51 and 129.26 is: 193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.71 : 247.51 = 129.26 : x
  2. Step 2: Convert to fraction form
    165.71/247.51 = 129.26/x
  3. Step 3: Cross multiply
    165.71x = 247.51 × 129.26
  4. Step 4: Simplify right side
    165.71x = 31,993.14
  5. Step 5: Solve for x
    x = 31,993.14/165.71
  6. Step 6: Final answer
    x = 193.07

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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.