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Finding the Fourth Proportional to 314.05, 470.96 and 108.56

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Solution

The fourth proportional to 314.05, 470.96 and 108.56 is: 162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.05 : 470.96 = 108.56 : x
  2. Step 2: Convert to fraction form
    314.05/470.96 = 108.56/x
  3. Step 3: Cross multiply
    314.05x = 470.96 × 108.56
  4. Step 4: Simplify right side
    314.05x = 51,127.42
  5. Step 5: Solve for x
    x = 51,127.42/314.05
  6. Step 6: Final answer
    x = 162.80

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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.