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Finding the Fourth Proportional to 235.34, 323.92 and 188.56

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Solution

The fourth proportional to 235.34, 323.92 and 188.56 is: 259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.34 : 323.92 = 188.56 : x
  2. Step 2: Convert to fraction form
    235.34/323.92 = 188.56/x
  3. Step 3: Cross multiply
    235.34x = 323.92 × 188.56
  4. Step 4: Simplify right side
    235.34x = 61,078.36
  5. Step 5: Solve for x
    x = 61,078.36/235.34
  6. Step 6: Final answer
    x = 259.53

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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.