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Finding the Fourth Proportional to 315.81, 472.26 and 237.78

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Solution

The fourth proportional to 315.81, 472.26 and 237.78 is: 355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.81 : 472.26 = 237.78 : x
  2. Step 2: Convert to fraction form
    315.81/472.26 = 237.78/x
  3. Step 3: Cross multiply
    315.81x = 472.26 × 237.78
  4. Step 4: Simplify right side
    315.81x = 112,293.98
  5. Step 5: Solve for x
    x = 112,293.98/315.81
  6. Step 6: Final answer
    x = 355.57

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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.