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Finding the Fourth Proportional to 206.47, 309.61 and 78.13

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Solution

The fourth proportional to 206.47, 309.61 and 78.13 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.47 : 309.61 = 78.13 : x
  2. Step 2: Convert to fraction form
    206.47/309.61 = 78.13/x
  3. Step 3: Cross multiply
    206.47x = 309.61 × 78.13
  4. Step 4: Simplify right side
    206.47x = 24,189.83
  5. Step 5: Solve for x
    x = 24,189.83/206.47
  6. Step 6: Final answer
    x = 117.16

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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.