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Finding the Fourth Proportional to 230.73, 318.17 and 152.01

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Solution

The fourth proportional to 230.73, 318.17 and 152.01 is: 209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.73 : 318.17 = 152.01 : x
  2. Step 2: Convert to fraction form
    230.73/318.17 = 152.01/x
  3. Step 3: Cross multiply
    230.73x = 318.17 × 152.01
  4. Step 4: Simplify right side
    230.73x = 48,365.02
  5. Step 5: Solve for x
    x = 48,365.02/230.73
  6. Step 6: Final answer
    x = 209.62

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Why These Related Problems?

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