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Finding the Fourth Proportional to 206.10, 308.54 and 152.24

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Solution

The fourth proportional to 206.10, 308.54 and 152.24 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 308.54 = 152.24 : x
  2. Step 2: Convert to fraction form
    206.10/308.54 = 152.24/x
  3. Step 3: Cross multiply
    206.10x = 308.54 × 152.24
  4. Step 4: Simplify right side
    206.10x = 46,970.97
  5. Step 5: Solve for x
    x = 46,970.97/206.10
  6. Step 6: Final answer
    x = 227.90

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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.