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Finding the Fourth Proportional to 206.60, 309.68 and 84.74

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Solution

The fourth proportional to 206.60, 309.68 and 84.74 is: 127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.60 : 309.68 = 84.74 : x
  2. Step 2: Convert to fraction form
    206.60/309.68 = 84.74/x
  3. Step 3: Cross multiply
    206.60x = 309.68 × 84.74
  4. Step 4: Simplify right side
    206.60x = 26,242.28
  5. Step 5: Solve for x
    x = 26,242.28/206.60
  6. Step 6: Final answer
    x = 127.02

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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.