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Finding the Fourth Proportional to 312.76, 469.14 and 120.34

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Solution

The fourth proportional to 312.76, 469.14 and 120.34 is: 180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.76 : 469.14 = 120.34 : x
  2. Step 2: Convert to fraction form
    312.76/469.14 = 120.34/x
  3. Step 3: Cross multiply
    312.76x = 469.14 × 120.34
  4. Step 4: Simplify right side
    312.76x = 56,456.31
  5. Step 5: Solve for x
    x = 56,456.31/312.76
  6. Step 6: Final answer
    x = 180.51

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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.