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Finding the Fourth Proportional to 206.38, 309.32 and 114.92

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Solution

The fourth proportional to 206.38, 309.32 and 114.92 is: 172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 309.32 = 114.92 : x
  2. Step 2: Convert to fraction form
    206.38/309.32 = 114.92/x
  3. Step 3: Cross multiply
    206.38x = 309.32 × 114.92
  4. Step 4: Simplify right side
    206.38x = 35,547.05
  5. Step 5: Solve for x
    x = 35,547.05/206.38
  6. Step 6: Final answer
    x = 172.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.