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Finding the Fourth Proportional to 314.38, 471.70 and 122.14

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Solution

The fourth proportional to 314.38, 471.70 and 122.14 is: 183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 471.70 = 122.14 : x
  2. Step 2: Convert to fraction form
    314.38/471.70 = 122.14/x
  3. Step 3: Cross multiply
    314.38x = 471.70 × 122.14
  4. Step 4: Simplify right side
    314.38x = 57,613.44
  5. Step 5: Solve for x
    x = 57,613.44/314.38
  6. Step 6: Final answer
    x = 183.26

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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.