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Finding the Fourth Proportional to 254.19, 381.00 and 116.95

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Solution

The fourth proportional to 254.19, 381.00 and 116.95 is: 175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.19 : 381.00 = 116.95 : x
  2. Step 2: Convert to fraction form
    254.19/381.00 = 116.95/x
  3. Step 3: Cross multiply
    254.19x = 381.00 × 116.95
  4. Step 4: Simplify right side
    254.19x = 44,557.43
  5. Step 5: Solve for x
    x = 44,557.43/254.19
  6. Step 6: Final answer
    x = 175.29

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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.