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Finding the Fourth Proportional to 202.71, 303.73 and 159.66

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Solution

The fourth proportional to 202.71, 303.73 and 159.66 is: 239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.71 : 303.73 = 159.66 : x
  2. Step 2: Convert to fraction form
    202.71/303.73 = 159.66/x
  3. Step 3: Cross multiply
    202.71x = 303.73 × 159.66
  4. Step 4: Simplify right side
    202.71x = 48,493.13
  5. Step 5: Solve for x
    x = 48,493.13/202.71
  6. Step 6: Final answer
    x = 239.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.