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Finding the Fourth Proportional to 202.59, 303.71 and 74.25

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Solution

The fourth proportional to 202.59, 303.71 and 74.25 is: 111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 303.71 = 74.25 : x
  2. Step 2: Convert to fraction form
    202.59/303.71 = 74.25/x
  3. Step 3: Cross multiply
    202.59x = 303.71 × 74.25
  4. Step 4: Simplify right side
    202.59x = 22,550.10
  5. Step 5: Solve for x
    x = 22,550.10/202.59
  6. Step 6: Final answer
    x = 111.31

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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.