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Finding the Fourth Proportional to 202.96, 304.18 and 87.27

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Solution

The fourth proportional to 202.96, 304.18 and 87.27 is: 130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 304.18 = 87.27 : x
  2. Step 2: Convert to fraction form
    202.96/304.18 = 87.27/x
  3. Step 3: Cross multiply
    202.96x = 304.18 × 87.27
  4. Step 4: Simplify right side
    202.96x = 26,544.43
  5. Step 5: Solve for x
    x = 26,544.43/202.96
  6. Step 6: Final answer
    x = 130.79

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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.