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Finding the Fourth Proportional to 312.76, 468.96 and 120.40

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Solution

The fourth proportional to 312.76, 468.96 and 120.40 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.76 : 468.96 = 120.40 : x
  2. Step 2: Convert to fraction form
    312.76/468.96 = 120.40/x
  3. Step 3: Cross multiply
    312.76x = 468.96 × 120.40
  4. Step 4: Simplify right side
    312.76x = 56,462.78
  5. Step 5: Solve for x
    x = 56,462.78/312.76
  6. Step 6: Final answer
    x = 180.53

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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.