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Finding the Fourth Proportional to 202.04, 278.84 and 119.20

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Solution

The fourth proportional to 202.04, 278.84 and 119.20 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.04 : 278.84 = 119.20 : x
  2. Step 2: Convert to fraction form
    202.04/278.84 = 119.20/x
  3. Step 3: Cross multiply
    202.04x = 278.84 × 119.20
  4. Step 4: Simplify right side
    202.04x = 33,237.07
  5. Step 5: Solve for x
    x = 33,237.07/202.04
  6. Step 6: Final answer
    x = 164.50

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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.