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Finding the Fourth Proportional to 235.80, 353.52 and 209.88

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Solution

The fourth proportional to 235.80, 353.52 and 209.88 is: 314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 353.52 = 209.88 : x
  2. Step 2: Convert to fraction form
    235.80/353.52 = 209.88/x
  3. Step 3: Cross multiply
    235.80x = 353.52 × 209.88
  4. Step 4: Simplify right side
    235.80x = 74,196.78
  5. Step 5: Solve for x
    x = 74,196.78/235.80
  6. Step 6: Final answer
    x = 314.66

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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.