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Finding the Fourth Proportional to 252.90, 383.76 and 252.90

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Solution

The fourth proportional to 252.90, 383.76 and 252.90 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.90 : 383.76 = 252.90 : x
  2. Step 2: Convert to fraction form
    252.90/383.76 = 252.90/x
  3. Step 3: Cross multiply
    252.90x = 383.76 × 252.90
  4. Step 4: Simplify right side
    252.90x = 97,052.90
  5. Step 5: Solve for x
    x = 97,052.90/252.90
  6. Step 6: Final answer
    x = 383.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.