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Finding the Fourth Proportional to 202.97, 304.46 and 87.39

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Solution

The fourth proportional to 202.97, 304.46 and 87.39 is: 131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.97 : 304.46 = 87.39 : x
  2. Step 2: Convert to fraction form
    202.97/304.46 = 87.39/x
  3. Step 3: Cross multiply
    202.97x = 304.46 × 87.39
  4. Step 4: Simplify right side
    202.97x = 26,605.24
  5. Step 5: Solve for x
    x = 26,605.24/202.97
  6. Step 6: Final answer
    x = 131.08

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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.