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Finding the Fourth Proportional to 315.53, 472.96 and 200.05

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Solution

The fourth proportional to 315.53, 472.96 and 200.05 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.53 : 472.96 = 200.05 : x
  2. Step 2: Convert to fraction form
    315.53/472.96 = 200.05/x
  3. Step 3: Cross multiply
    315.53x = 472.96 × 200.05
  4. Step 4: Simplify right side
    315.53x = 94,615.65
  5. Step 5: Solve for x
    x = 94,615.65/315.53
  6. Step 6: Final answer
    x = 299.86

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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.