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Finding the Fourth Proportional to 165.19, 247.64 and 67.65

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Solution

The fourth proportional to 165.19, 247.64 and 67.65 is: 101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.19 : 247.64 = 67.65 : x
  2. Step 2: Convert to fraction form
    165.19/247.64 = 67.65/x
  3. Step 3: Cross multiply
    165.19x = 247.64 × 67.65
  4. Step 4: Simplify right side
    165.19x = 16,752.85
  5. Step 5: Solve for x
    x = 16,752.85/165.19
  6. Step 6: Final answer
    x = 101.42

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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.