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Finding the Fourth Proportional to 253.12, 379.53 and 137.56

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Solution

The fourth proportional to 253.12, 379.53 and 137.56 is: 206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 379.53 = 137.56 : x
  2. Step 2: Convert to fraction form
    253.12/379.53 = 137.56/x
  3. Step 3: Cross multiply
    253.12x = 379.53 × 137.56
  4. Step 4: Simplify right side
    253.12x = 52,208.15
  5. Step 5: Solve for x
    x = 52,208.15/253.12
  6. Step 6: Final answer
    x = 206.26

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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.