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Finding the Fourth Proportional to 253.90, 380.91 and 132.09

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Solution

The fourth proportional to 253.90, 380.91 and 132.09 is: 198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 380.91 = 132.09 : x
  2. Step 2: Convert to fraction form
    253.90/380.91 = 132.09/x
  3. Step 3: Cross multiply
    253.90x = 380.91 × 132.09
  4. Step 4: Simplify right side
    253.90x = 50,314.40
  5. Step 5: Solve for x
    x = 50,314.40/253.90
  6. Step 6: Final answer
    x = 198.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.