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Finding the Fourth Proportional to 165.48, 247.84 and 96.90

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Solution

The fourth proportional to 165.48, 247.84 and 96.90 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.48 : 247.84 = 96.90 : x
  2. Step 2: Convert to fraction form
    165.48/247.84 = 96.90/x
  3. Step 3: Cross multiply
    165.48x = 247.84 × 96.90
  4. Step 4: Simplify right side
    165.48x = 24,015.70
  5. Step 5: Solve for x
    x = 24,015.70/165.48
  6. Step 6: Final answer
    x = 145.13

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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.