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Finding the Fourth Proportional to 206.46, 309.66 and 78.18

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Solution

The fourth proportional to 206.46, 309.66 and 78.18 is: 117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 309.66 = 78.18 : x
  2. Step 2: Convert to fraction form
    206.46/309.66 = 78.18/x
  3. Step 3: Cross multiply
    206.46x = 309.66 × 78.18
  4. Step 4: Simplify right side
    206.46x = 24,209.22
  5. Step 5: Solve for x
    x = 24,209.22/206.46
  6. Step 6: Final answer
    x = 117.26

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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.