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Finding the Fourth Proportional to 315.12, 471.72 and 199.17

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Solution

The fourth proportional to 315.12, 471.72 and 199.17 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 471.72 = 199.17 : x
  2. Step 2: Convert to fraction form
    315.12/471.72 = 199.17/x
  3. Step 3: Cross multiply
    315.12x = 471.72 × 199.17
  4. Step 4: Simplify right side
    315.12x = 93,952.47
  5. Step 5: Solve for x
    x = 93,952.47/315.12
  6. Step 6: Final answer
    x = 298.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.