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Finding the Fourth Proportional to 165.80, 247.62 and 138.77

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Solution

The fourth proportional to 165.80, 247.62 and 138.77 is: 207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 247.62 = 138.77 : x
  2. Step 2: Convert to fraction form
    165.80/247.62 = 138.77/x
  3. Step 3: Cross multiply
    165.80x = 247.62 × 138.77
  4. Step 4: Simplify right side
    165.80x = 34,361.53
  5. Step 5: Solve for x
    x = 34,361.53/165.80
  6. Step 6: Final answer
    x = 207.25

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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.