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Finding the Fourth Proportional to 225.36, 339.28 and 194.04

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Solution

The fourth proportional to 225.36, 339.28 and 194.04 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.36 : 339.28 = 194.04 : x
  2. Step 2: Convert to fraction form
    225.36/339.28 = 194.04/x
  3. Step 3: Cross multiply
    225.36x = 339.28 × 194.04
  4. Step 4: Simplify right side
    225.36x = 65,833.89
  5. Step 5: Solve for x
    x = 65,833.89/225.36
  6. Step 6: Final answer
    x = 292.13

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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.