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Finding the Fourth Proportional to 262.13, 393.19 and 91.13

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Solution

The fourth proportional to 262.13, 393.19 and 91.13 is: 136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.13 : 393.19 = 91.13 : x
  2. Step 2: Convert to fraction form
    262.13/393.19 = 91.13/x
  3. Step 3: Cross multiply
    262.13x = 393.19 × 91.13
  4. Step 4: Simplify right side
    262.13x = 35,829.21
  5. Step 5: Solve for x
    x = 35,829.21/262.13
  6. Step 6: Final answer
    x = 136.69

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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.