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Finding the Fourth Proportional to 254.34, 381.57 and 110.10

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Solution

The fourth proportional to 254.34, 381.57 and 110.10 is: 165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 381.57 = 110.10 : x
  2. Step 2: Convert to fraction form
    254.34/381.57 = 110.10/x
  3. Step 3: Cross multiply
    254.34x = 381.57 × 110.10
  4. Step 4: Simplify right side
    254.34x = 42,010.86
  5. Step 5: Solve for x
    x = 42,010.86/254.34
  6. Step 6: Final answer
    x = 165.18

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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.