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Finding the Fourth Proportional to 202.14, 278.91 and 158.58

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Solution

The fourth proportional to 202.14, 278.91 and 158.58 is: 218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.14 : 278.91 = 158.58 : x
  2. Step 2: Convert to fraction form
    202.14/278.91 = 158.58/x
  3. Step 3: Cross multiply
    202.14x = 278.91 × 158.58
  4. Step 4: Simplify right side
    202.14x = 44,229.55
  5. Step 5: Solve for x
    x = 44,229.55/202.14
  6. Step 6: Final answer
    x = 218.81

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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.