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Finding the Fourth Proportional to 202.81, 303.79 and 172.10

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Solution

The fourth proportional to 202.81, 303.79 and 172.10 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.81 : 303.79 = 172.10 : x
  2. Step 2: Convert to fraction form
    202.81/303.79 = 172.10/x
  3. Step 3: Cross multiply
    202.81x = 303.79 × 172.10
  4. Step 4: Simplify right side
    202.81x = 52,281.33
  5. Step 5: Solve for x
    x = 52,281.33/202.81
  6. Step 6: Final answer
    x = 257.78

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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.