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Finding the Fourth Proportional to 202.32, 278.68 and 158.48

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Solution

The fourth proportional to 202.32, 278.68 and 158.48 is: 218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 278.68 = 158.48 : x
  2. Step 2: Convert to fraction form
    202.32/278.68 = 158.48/x
  3. Step 3: Cross multiply
    202.32x = 278.68 × 158.48
  4. Step 4: Simplify right side
    202.32x = 44,165.21
  5. Step 5: Solve for x
    x = 44,165.21/202.32
  6. Step 6: Final answer
    x = 218.29

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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.