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Finding the Fourth Proportional to 206.24, 309.14 and 103.32

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Solution

The fourth proportional to 206.24, 309.14 and 103.32 is: 154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 309.14 = 103.32 : x
  2. Step 2: Convert to fraction form
    206.24/309.14 = 103.32/x
  3. Step 3: Cross multiply
    206.24x = 309.14 × 103.32
  4. Step 4: Simplify right side
    206.24x = 31,939.83
  5. Step 5: Solve for x
    x = 31,939.83/206.24
  6. Step 6: Final answer
    x = 154.87

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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.