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Finding the Fourth Proportional to 202.27, 278.51 and 158.19

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Solution

The fourth proportional to 202.27, 278.51 and 158.19 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.27 : 278.51 = 158.19 : x
  2. Step 2: Convert to fraction form
    202.27/278.51 = 158.19/x
  3. Step 3: Cross multiply
    202.27x = 278.51 × 158.19
  4. Step 4: Simplify right side
    202.27x = 44,057.50
  5. Step 5: Solve for x
    x = 44,057.50/202.27
  6. Step 6: Final answer
    x = 217.82

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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.