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Finding the Fourth Proportional to 165.13, 247.78 and 96.78

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Solution

The fourth proportional to 165.13, 247.78 and 96.78 is: 145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.13 : 247.78 = 96.78 : x
  2. Step 2: Convert to fraction form
    165.13/247.78 = 96.78/x
  3. Step 3: Cross multiply
    165.13x = 247.78 × 96.78
  4. Step 4: Simplify right side
    165.13x = 23,980.15
  5. Step 5: Solve for x
    x = 23,980.15/165.13
  6. Step 6: Final answer
    x = 145.22

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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.