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Finding the Fourth Proportional to 335.32, 462.71 and 202.55

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Solution

The fourth proportional to 335.32, 462.71 and 202.55 is: 279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.32 : 462.71 = 202.55 : x
  2. Step 2: Convert to fraction form
    335.32/462.71 = 202.55/x
  3. Step 3: Cross multiply
    335.32x = 462.71 × 202.55
  4. Step 4: Simplify right side
    335.32x = 93,721.91
  5. Step 5: Solve for x
    x = 93,721.91/335.32
  6. Step 6: Final answer
    x = 279.50

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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.