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Finding the Fourth Proportional to 165.60, 247.86 and 116.82

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Solution

The fourth proportional to 165.60, 247.86 and 116.82 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.60 : 247.86 = 116.82 : x
  2. Step 2: Convert to fraction form
    165.60/247.86 = 116.82/x
  3. Step 3: Cross multiply
    165.60x = 247.86 × 116.82
  4. Step 4: Simplify right side
    165.60x = 28,955.01
  5. Step 5: Solve for x
    x = 28,955.01/165.60
  6. Step 6: Final answer
    x = 174.85

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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.