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Finding the Fourth Proportional to 202.02, 278.73 and 124.42

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Solution

The fourth proportional to 202.02, 278.73 and 124.42 is: 171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.02 : 278.73 = 124.42 : x
  2. Step 2: Convert to fraction form
    202.02/278.73 = 124.42/x
  3. Step 3: Cross multiply
    202.02x = 278.73 × 124.42
  4. Step 4: Simplify right side
    202.02x = 34,679.59
  5. Step 5: Solve for x
    x = 34,679.59/202.02
  6. Step 6: Final answer
    x = 171.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.