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Finding the Fourth Proportional to 261.93, 393.06 and 201.12

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Solution

The fourth proportional to 261.93, 393.06 and 201.12 is: 301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.93 : 393.06 = 201.12 : x
  2. Step 2: Convert to fraction form
    261.93/393.06 = 201.12/x
  3. Step 3: Cross multiply
    261.93x = 393.06 × 201.12
  4. Step 4: Simplify right side
    261.93x = 79,052.23
  5. Step 5: Solve for x
    x = 79,052.23/261.93
  6. Step 6: Final answer
    x = 301.81

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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.