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Finding the Fourth Proportional to 235.28, 324.54 and 151.22

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Solution

The fourth proportional to 235.28, 324.54 and 151.22 is: 208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.28 : 324.54 = 151.22 : x
  2. Step 2: Convert to fraction form
    235.28/324.54 = 151.22/x
  3. Step 3: Cross multiply
    235.28x = 324.54 × 151.22
  4. Step 4: Simplify right side
    235.28x = 49,076.94
  5. Step 5: Solve for x
    x = 49,076.94/235.28
  6. Step 6: Final answer
    x = 208.59

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Why These Related Problems?

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