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Finding the Fourth Proportional to 253.51, 380.26 and 91.30

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Solution

The fourth proportional to 253.51, 380.26 and 91.30 is: 136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.51 : 380.26 = 91.30 : x
  2. Step 2: Convert to fraction form
    253.51/380.26 = 91.30/x
  3. Step 3: Cross multiply
    253.51x = 380.26 × 91.30
  4. Step 4: Simplify right side
    253.51x = 34,717.74
  5. Step 5: Solve for x
    x = 34,717.74/253.51
  6. Step 6: Final answer
    x = 136.95

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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.