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Finding the Fourth Proportional to 206.24, 285.12 and 162.56

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Solution

The fourth proportional to 206.24, 285.12 and 162.56 is: 224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 285.12 = 162.56 : x
  2. Step 2: Convert to fraction form
    206.24/285.12 = 162.56/x
  3. Step 3: Cross multiply
    206.24x = 285.12 × 162.56
  4. Step 4: Simplify right side
    206.24x = 46,349.11
  5. Step 5: Solve for x
    x = 46,349.11/206.24
  6. Step 6: Final answer
    x = 224.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.