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Finding the Fourth Proportional to 202.57, 303.18 and 139.87

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Solution

The fourth proportional to 202.57, 303.18 and 139.87 is: 209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.57 : 303.18 = 139.87 : x
  2. Step 2: Convert to fraction form
    202.57/303.18 = 139.87/x
  3. Step 3: Cross multiply
    202.57x = 303.18 × 139.87
  4. Step 4: Simplify right side
    202.57x = 42,405.79
  5. Step 5: Solve for x
    x = 42,405.79/202.57
  6. Step 6: Final answer
    x = 209.34

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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.