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Finding the Fourth Proportional to 165.17, 247.86 and 84.08

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Solution

The fourth proportional to 165.17, 247.86 and 84.08 is: 126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.17 : 247.86 = 84.08 : x
  2. Step 2: Convert to fraction form
    165.17/247.86 = 84.08/x
  3. Step 3: Cross multiply
    165.17x = 247.86 × 84.08
  4. Step 4: Simplify right side
    165.17x = 20,838.83
  5. Step 5: Solve for x
    x = 20,838.83/165.17
  6. Step 6: Final answer
    x = 126.17

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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.