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Finding the Fourth Proportional to 165.98, 249 and 74.66

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Solution

The fourth proportional to 165.98, 249 and 74.66 is: 112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.98 : 249 = 74.66 : x
  2. Step 2: Convert to fraction form
    165.98/249 = 74.66/x
  3. Step 3: Cross multiply
    165.98x = 249 × 74.66
  4. Step 4: Simplify right side
    165.98x = 18,590.34
  5. Step 5: Solve for x
    x = 18,590.34/165.98
  6. Step 6: Final answer
    x = 112.00

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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.