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Finding the Fourth Proportional to 207.62, 308.61 and 202.08

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Solution

The fourth proportional to 207.62, 308.61 and 202.08 is: 300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.62 : 308.61 = 202.08 : x
  2. Step 2: Convert to fraction form
    207.62/308.61 = 202.08/x
  3. Step 3: Cross multiply
    207.62x = 308.61 × 202.08
  4. Step 4: Simplify right side
    207.62x = 62,363.91
  5. Step 5: Solve for x
    x = 62,363.91/207.62
  6. Step 6: Final answer
    x = 300.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.