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Finding the Fourth Proportional to 254.67, 381.74 and 146.22

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Solution

The fourth proportional to 254.67, 381.74 and 146.22 is: 219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.67 : 381.74 = 146.22 : x
  2. Step 2: Convert to fraction form
    254.67/381.74 = 146.22/x
  3. Step 3: Cross multiply
    254.67x = 381.74 × 146.22
  4. Step 4: Simplify right side
    254.67x = 55,817.29
  5. Step 5: Solve for x
    x = 55,817.29/254.67
  6. Step 6: Final answer
    x = 219.17

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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.