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Finding the Fourth Proportional to 205.98, 309.14 and 145.17

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Solution

The fourth proportional to 205.98, 309.14 and 145.17 is: 217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 309.14 = 145.17 : x
  2. Step 2: Convert to fraction form
    205.98/309.14 = 145.17/x
  3. Step 3: Cross multiply
    205.98x = 309.14 × 145.17
  4. Step 4: Simplify right side
    205.98x = 44,877.13
  5. Step 5: Solve for x
    x = 44,877.13/205.98
  6. Step 6: Final answer
    x = 217.87

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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.