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Finding the Fourth Proportional to 312.52, 468.80 and 158.27

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Solution

The fourth proportional to 312.52, 468.80 and 158.27 is: 237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 468.80 = 158.27 : x
  2. Step 2: Convert to fraction form
    312.52/468.80 = 158.27/x
  3. Step 3: Cross multiply
    312.52x = 468.80 × 158.27
  4. Step 4: Simplify right side
    312.52x = 74,196.98
  5. Step 5: Solve for x
    x = 74,196.98/312.52
  6. Step 6: Final answer
    x = 237.42

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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.