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Finding the Fourth Proportional to 206.49, 309.42 and 158.25

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Solution

The fourth proportional to 206.49, 309.42 and 158.25 is: 237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 309.42 = 158.25 : x
  2. Step 2: Convert to fraction form
    206.49/309.42 = 158.25/x
  3. Step 3: Cross multiply
    206.49x = 309.42 × 158.25
  4. Step 4: Simplify right side
    206.49x = 48,965.72
  5. Step 5: Solve for x
    x = 48,965.72/206.49
  6. Step 6: Final answer
    x = 237.13

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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.