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Finding the Fourth Proportional to 254.61, 381.81 and 110.34

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Solution

The fourth proportional to 254.61, 381.81 and 110.34 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.61 : 381.81 = 110.34 : x
  2. Step 2: Convert to fraction form
    254.61/381.81 = 110.34/x
  3. Step 3: Cross multiply
    254.61x = 381.81 × 110.34
  4. Step 4: Simplify right side
    254.61x = 42,128.92
  5. Step 5: Solve for x
    x = 42,128.92/254.61
  6. Step 6: Final answer
    x = 165.46

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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.