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Finding the Fourth Proportional to 254.09, 381.10 and 130.77

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Solution

The fourth proportional to 254.09, 381.10 and 130.77 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 381.10 = 130.77 : x
  2. Step 2: Convert to fraction form
    254.09/381.10 = 130.77/x
  3. Step 3: Cross multiply
    254.09x = 381.10 × 130.77
  4. Step 4: Simplify right side
    254.09x = 49,836.45
  5. Step 5: Solve for x
    x = 49,836.45/254.09
  6. Step 6: Final answer
    x = 196.14

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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.