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Finding the Fourth Proportional to 202.22, 278.99 and 139.97

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Solution

The fourth proportional to 202.22, 278.99 and 139.97 is: 193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.22 : 278.99 = 139.97 : x
  2. Step 2: Convert to fraction form
    202.22/278.99 = 139.97/x
  3. Step 3: Cross multiply
    202.22x = 278.99 × 139.97
  4. Step 4: Simplify right side
    202.22x = 39,051.28
  5. Step 5: Solve for x
    x = 39,051.28/202.22
  6. Step 6: Final answer
    x = 193.12

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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.