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Finding the Fourth Proportional to 315.97, 473.49 and 153.31

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Solution

The fourth proportional to 315.97, 473.49 and 153.31 is: 229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.97 : 473.49 = 153.31 : x
  2. Step 2: Convert to fraction form
    315.97/473.49 = 153.31/x
  3. Step 3: Cross multiply
    315.97x = 473.49 × 153.31
  4. Step 4: Simplify right side
    315.97x = 72,590.75
  5. Step 5: Solve for x
    x = 72,590.75/315.97
  6. Step 6: Final answer
    x = 229.74

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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.