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Finding the Fourth Proportional to 202.13, 278.91 and 119.24

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Solution

The fourth proportional to 202.13, 278.91 and 119.24 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 278.91 = 119.24 : x
  2. Step 2: Convert to fraction form
    202.13/278.91 = 119.24/x
  3. Step 3: Cross multiply
    202.13x = 278.91 × 119.24
  4. Step 4: Simplify right side
    202.13x = 33,256.88
  5. Step 5: Solve for x
    x = 33,256.88/202.13
  6. Step 6: Final answer
    x = 164.53

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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.