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Finding the Fourth Proportional to 262.47, 393.72 and 240.75

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Solution

The fourth proportional to 262.47, 393.72 and 240.75 is: 361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.47 : 393.72 = 240.75 : x
  2. Step 2: Convert to fraction form
    262.47/393.72 = 240.75/x
  3. Step 3: Cross multiply
    262.47x = 393.72 × 240.75
  4. Step 4: Simplify right side
    262.47x = 94,788.09
  5. Step 5: Solve for x
    x = 94,788.09/262.47
  6. Step 6: Final answer
    x = 361.14

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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.