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Finding the Fourth Proportional to 314.44, 471.76 and 109.04

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Solution

The fourth proportional to 314.44, 471.76 and 109.04 is: 163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.44 : 471.76 = 109.04 : x
  2. Step 2: Convert to fraction form
    314.44/471.76 = 109.04/x
  3. Step 3: Cross multiply
    314.44x = 471.76 × 109.04
  4. Step 4: Simplify right side
    314.44x = 51,440.71
  5. Step 5: Solve for x
    x = 51,440.71/314.44
  6. Step 6: Final answer
    x = 163.59

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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.