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Finding the Fourth Proportional to 312.25, 468.60 and 119.88

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Solution

The fourth proportional to 312.25, 468.60 and 119.88 is: 179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 468.60 = 119.88 : x
  2. Step 2: Convert to fraction form
    312.25/468.60 = 119.88/x
  3. Step 3: Cross multiply
    312.25x = 468.60 × 119.88
  4. Step 4: Simplify right side
    312.25x = 56,175.77
  5. Step 5: Solve for x
    x = 56,175.77/312.25
  6. Step 6: Final answer
    x = 179.91

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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.