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Finding the Fourth Proportional to 314.54, 471.81 and 122.21

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Solution

The fourth proportional to 314.54, 471.81 and 122.21 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 471.81 = 122.21 : x
  2. Step 2: Convert to fraction form
    314.54/471.81 = 122.21/x
  3. Step 3: Cross multiply
    314.54x = 471.81 × 122.21
  4. Step 4: Simplify right side
    314.54x = 57,659.90
  5. Step 5: Solve for x
    x = 57,659.90/314.54
  6. Step 6: Final answer
    x = 183.32

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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.