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Finding the Fourth Proportional to 253.10, 379.67 and 90.80

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Solution

The fourth proportional to 253.10, 379.67 and 90.80 is: 136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.10 : 379.67 = 90.80 : x
  2. Step 2: Convert to fraction form
    253.10/379.67 = 90.80/x
  3. Step 3: Cross multiply
    253.10x = 379.67 × 90.80
  4. Step 4: Simplify right side
    253.10x = 34,474.04
  5. Step 5: Solve for x
    x = 34,474.04/253.10
  6. Step 6: Final answer
    x = 136.21

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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.