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Finding the Fourth Proportional to 165.84, 247.44 and 138.84

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Solution

The fourth proportional to 165.84, 247.44 and 138.84 is: 207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 247.44 = 138.84 : x
  2. Step 2: Convert to fraction form
    165.84/247.44 = 138.84/x
  3. Step 3: Cross multiply
    165.84x = 247.44 × 138.84
  4. Step 4: Simplify right side
    165.84x = 34,354.57
  5. Step 5: Solve for x
    x = 34,354.57/165.84
  6. Step 6: Final answer
    x = 207.15

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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.