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Finding the Fourth Proportional to 314.27, 471.46 and 119.36

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Solution

The fourth proportional to 314.27, 471.46 and 119.36 is: 179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.27 : 471.46 = 119.36 : x
  2. Step 2: Convert to fraction form
    314.27/471.46 = 119.36/x
  3. Step 3: Cross multiply
    314.27x = 471.46 × 119.36
  4. Step 4: Simplify right side
    314.27x = 56,270.81
  5. Step 5: Solve for x
    x = 56,270.81/314.27
  6. Step 6: Final answer
    x = 179.05

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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.