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Finding the Fourth Proportional to 314.33, 471.77 and 122.09

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Solution

The fourth proportional to 314.33, 471.77 and 122.09 is: 183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.33 : 471.77 = 122.09 : x
  2. Step 2: Convert to fraction form
    314.33/471.77 = 122.09/x
  3. Step 3: Cross multiply
    314.33x = 471.77 × 122.09
  4. Step 4: Simplify right side
    314.33x = 57,597.79
  5. Step 5: Solve for x
    x = 57,597.79/314.33
  6. Step 6: Final answer
    x = 183.24

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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.