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Finding the Fourth Proportional to 312.34, 468.08 and 167.78

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Solution

The fourth proportional to 312.34, 468.08 and 167.78 is: 251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.34 : 468.08 = 167.78 : x
  2. Step 2: Convert to fraction form
    312.34/468.08 = 167.78/x
  3. Step 3: Cross multiply
    312.34x = 468.08 × 167.78
  4. Step 4: Simplify right side
    312.34x = 78,534.46
  5. Step 5: Solve for x
    x = 78,534.46/312.34
  6. Step 6: Final answer
    x = 251.44

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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.