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Finding the Fourth Proportional to 275.22, 411.93 and 201.87

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Solution

The fourth proportional to 275.22, 411.93 and 201.87 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 411.93 = 201.87 : x
  2. Step 2: Convert to fraction form
    275.22/411.93 = 201.87/x
  3. Step 3: Cross multiply
    275.22x = 411.93 × 201.87
  4. Step 4: Simplify right side
    275.22x = 83,156.31
  5. Step 5: Solve for x
    x = 83,156.31/275.22
  6. Step 6: Final answer
    x = 302.14

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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.