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Finding the Fourth Proportional to 205.74, 309.32 and 165.45

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Solution

The fourth proportional to 205.74, 309.32 and 165.45 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 309.32 = 165.45 : x
  2. Step 2: Convert to fraction form
    205.74/309.32 = 165.45/x
  3. Step 3: Cross multiply
    205.74x = 309.32 × 165.45
  4. Step 4: Simplify right side
    205.74x = 51,175.86
  5. Step 5: Solve for x
    x = 51,175.86/205.74
  6. Step 6: Final answer
    x = 248.74

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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.