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Finding the Fourth Proportional to 314.24, 471.38 and 184.43

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Solution

The fourth proportional to 314.24, 471.38 and 184.43 is: 276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 471.38 = 184.43 : x
  2. Step 2: Convert to fraction form
    314.24/471.38 = 184.43/x
  3. Step 3: Cross multiply
    314.24x = 471.38 × 184.43
  4. Step 4: Simplify right side
    314.24x = 86,933.33
  5. Step 5: Solve for x
    x = 86,933.33/314.24
  6. Step 6: Final answer
    x = 276.65

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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.