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Finding the Fourth Proportional to 253.44, 382.68 and 253.44

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Solution

The fourth proportional to 253.44, 382.68 and 253.44 is: 382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.44 : 382.68 = 253.44 : x
  2. Step 2: Convert to fraction form
    253.44/382.68 = 253.44/x
  3. Step 3: Cross multiply
    253.44x = 382.68 × 253.44
  4. Step 4: Simplify right side
    253.44x = 96,986.42
  5. Step 5: Solve for x
    x = 96,986.42/253.44
  6. Step 6: Final answer
    x = 382.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.