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Finding the Fourth Proportional to 314.54, 471.84 and 122.24

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Solution

The fourth proportional to 314.54, 471.84 and 122.24 is: 183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 471.84 = 122.24 : x
  2. Step 2: Convert to fraction form
    314.54/471.84 = 122.24/x
  3. Step 3: Cross multiply
    314.54x = 471.84 × 122.24
  4. Step 4: Simplify right side
    314.54x = 57,677.72
  5. Step 5: Solve for x
    x = 57,677.72/314.54
  6. Step 6: Final answer
    x = 183.37

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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.