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Finding the Fourth Proportional to 318, 477.02 and 112.60

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Solution

The fourth proportional to 318, 477.02 and 112.60 is: 168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318 : 477.02 = 112.60 : x
  2. Step 2: Convert to fraction form
    318/477.02 = 112.60/x
  3. Step 3: Cross multiply
    318x = 477.02 × 112.60
  4. Step 4: Simplify right side
    318x = 53,712.45
  5. Step 5: Solve for x
    x = 53,712.45/318
  6. Step 6: Final answer
    x = 168.91

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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.