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Finding the Fourth Proportional to 235.52, 353.28 and 231.20

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Solution

The fourth proportional to 235.52, 353.28 and 231.20 is: 346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.52 : 353.28 = 231.20 : x
  2. Step 2: Convert to fraction form
    235.52/353.28 = 231.20/x
  3. Step 3: Cross multiply
    235.52x = 353.28 × 231.20
  4. Step 4: Simplify right side
    235.52x = 81,678.34
  5. Step 5: Solve for x
    x = 81,678.34/235.52
  6. Step 6: Final answer
    x = 346.80

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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.