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Finding the Fourth Proportional to 206.10, 308.70 and 148.43

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Solution

The fourth proportional to 206.10, 308.70 and 148.43 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 308.70 = 148.43 : x
  2. Step 2: Convert to fraction form
    206.10/308.70 = 148.43/x
  3. Step 3: Cross multiply
    206.10x = 308.70 × 148.43
  4. Step 4: Simplify right side
    206.10x = 45,820.56
  5. Step 5: Solve for x
    x = 45,820.56/206.10
  6. Step 6: Final answer
    x = 222.32

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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.