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Finding the Fourth Proportional to 165.22, 246.95 and 117.16

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Solution

The fourth proportional to 165.22, 246.95 and 117.16 is: 175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 246.95 = 117.16 : x
  2. Step 2: Convert to fraction form
    165.22/246.95 = 117.16/x
  3. Step 3: Cross multiply
    165.22x = 246.95 × 117.16
  4. Step 4: Simplify right side
    165.22x = 28,932.66
  5. Step 5: Solve for x
    x = 28,932.66/165.22
  6. Step 6: Final answer
    x = 175.12

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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.