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Finding the Fourth Proportional to 206.63, 309.70 and 84.74

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Solution

The fourth proportional to 206.63, 309.70 and 84.74 is: 127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.63 : 309.70 = 84.74 : x
  2. Step 2: Convert to fraction form
    206.63/309.70 = 84.74/x
  3. Step 3: Cross multiply
    206.63x = 309.70 × 84.74
  4. Step 4: Simplify right side
    206.63x = 26,243.55
  5. Step 5: Solve for x
    x = 26,243.55/206.63
  6. Step 6: Final answer
    x = 127.01

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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.