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Finding the Fourth Proportional to 312.91, 469.54 and 174.20

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Solution

The fourth proportional to 312.91, 469.54 and 174.20 is: 261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.91 : 469.54 = 174.20 : x
  2. Step 2: Convert to fraction form
    312.91/469.54 = 174.20/x
  3. Step 3: Cross multiply
    312.91x = 469.54 × 174.20
  4. Step 4: Simplify right side
    312.91x = 81,791.74
  5. Step 5: Solve for x
    x = 81,791.74/312.91
  6. Step 6: Final answer
    x = 261.39

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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.