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Finding the Fourth Proportional to 165.63, 247.95 and 114.16

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Solution

The fourth proportional to 165.63, 247.95 and 114.16 is: 170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.63 : 247.95 = 114.16 : x
  2. Step 2: Convert to fraction form
    165.63/247.95 = 114.16/x
  3. Step 3: Cross multiply
    165.63x = 247.95 × 114.16
  4. Step 4: Simplify right side
    165.63x = 28,305.07
  5. Step 5: Solve for x
    x = 28,305.07/165.63
  6. Step 6: Final answer
    x = 170.90

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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.