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Finding the Fourth Proportional to 235.44, 324.54 and 225.72

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Solution

The fourth proportional to 235.44, 324.54 and 225.72 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.44 : 324.54 = 225.72 : x
  2. Step 2: Convert to fraction form
    235.44/324.54 = 225.72/x
  3. Step 3: Cross multiply
    235.44x = 324.54 × 225.72
  4. Step 4: Simplify right side
    235.44x = 73,255.17
  5. Step 5: Solve for x
    x = 73,255.17/235.44
  6. Step 6: Final answer
    x = 311.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.