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Finding the Fourth Proportional to 206.16, 309.14 and 61.82

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Solution

The fourth proportional to 206.16, 309.14 and 61.82 is: 92.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 309.14 = 61.82 : x
  2. Step 2: Convert to fraction form
    206.16/309.14 = 61.82/x
  3. Step 3: Cross multiply
    206.16x = 309.14 × 61.82
  4. Step 4: Simplify right side
    206.16x = 19,111.03
  5. Step 5: Solve for x
    x = 19,111.03/206.16
  6. Step 6: Final answer
    x = 92.70

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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.