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Finding the Fourth Proportional to 312.57, 468.89 and 120.20

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Solution

The fourth proportional to 312.57, 468.89 and 120.20 is: 180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.57 : 468.89 = 120.20 : x
  2. Step 2: Convert to fraction form
    312.57/468.89 = 120.20/x
  3. Step 3: Cross multiply
    312.57x = 468.89 × 120.20
  4. Step 4: Simplify right side
    312.57x = 56,357.63
  5. Step 5: Solve for x
    x = 56,357.63/312.57
  6. Step 6: Final answer
    x = 180.30

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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.