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Finding the Fourth Proportional to 225.42, 339.49 and 171.69

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Solution

The fourth proportional to 225.42, 339.49 and 171.69 is: 258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 339.49 = 171.69 : x
  2. Step 2: Convert to fraction form
    225.42/339.49 = 171.69/x
  3. Step 3: Cross multiply
    225.42x = 339.49 × 171.69
  4. Step 4: Simplify right side
    225.42x = 58,287.04
  5. Step 5: Solve for x
    x = 58,287.04/225.42
  6. Step 6: Final answer
    x = 258.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.