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Finding the Fourth Proportional to 206.55, 309.24 and 155.43

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Solution

The fourth proportional to 206.55, 309.24 and 155.43 is: 232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 309.24 = 155.43 : x
  2. Step 2: Convert to fraction form
    206.55/309.24 = 155.43/x
  3. Step 3: Cross multiply
    206.55x = 309.24 × 155.43
  4. Step 4: Simplify right side
    206.55x = 48,065.17
  5. Step 5: Solve for x
    x = 48,065.17/206.55
  6. Step 6: Final answer
    x = 232.70

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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.