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Finding the Fourth Proportional to 206.65, 309.80 and 78.49

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Solution

The fourth proportional to 206.65, 309.80 and 78.49 is: 117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.65 : 309.80 = 78.49 : x
  2. Step 2: Convert to fraction form
    206.65/309.80 = 78.49/x
  3. Step 3: Cross multiply
    206.65x = 309.80 × 78.49
  4. Step 4: Simplify right side
    206.65x = 24,316.20
  5. Step 5: Solve for x
    x = 24,316.20/206.65
  6. Step 6: Final answer
    x = 117.67

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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.