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Finding the Fourth Proportional to 206.65, 284.95 and 169.19

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Solution

The fourth proportional to 206.65, 284.95 and 169.19 is: 233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.65 : 284.95 = 169.19 : x
  2. Step 2: Convert to fraction form
    206.65/284.95 = 169.19/x
  3. Step 3: Cross multiply
    206.65x = 284.95 × 169.19
  4. Step 4: Simplify right side
    206.65x = 48,210.69
  5. Step 5: Solve for x
    x = 48,210.69/206.65
  6. Step 6: Final answer
    x = 233.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.