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Finding the Fourth Proportional to 235.71, 324.81 and 219.33

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Solution

The fourth proportional to 235.71, 324.81 and 219.33 is: 302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.71 : 324.81 = 219.33 : x
  2. Step 2: Convert to fraction form
    235.71/324.81 = 219.33/x
  3. Step 3: Cross multiply
    235.71x = 324.81 × 219.33
  4. Step 4: Simplify right side
    235.71x = 71,240.58
  5. Step 5: Solve for x
    x = 71,240.58/235.71
  6. Step 6: Final answer
    x = 302.24

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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.