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Finding the Fourth Proportional to 235.71, 353.36 and 132.93

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Solution

The fourth proportional to 235.71, 353.36 and 132.93 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.71 : 353.36 = 132.93 : x
  2. Step 2: Convert to fraction form
    235.71/353.36 = 132.93/x
  3. Step 3: Cross multiply
    235.71x = 353.36 × 132.93
  4. Step 4: Simplify right side
    235.71x = 46,972.48
  5. Step 5: Solve for x
    x = 46,972.48/235.71
  6. Step 6: Final answer
    x = 199.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.