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Finding the Fourth Proportional to 254.58, 381.66 and 110.13

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Solution

The fourth proportional to 254.58, 381.66 and 110.13 is: 165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.58 : 381.66 = 110.13 : x
  2. Step 2: Convert to fraction form
    254.58/381.66 = 110.13/x
  3. Step 3: Cross multiply
    254.58x = 381.66 × 110.13
  4. Step 4: Simplify right side
    254.58x = 42,032.22
  5. Step 5: Solve for x
    x = 42,032.22/254.58
  6. Step 6: Final answer
    x = 165.10

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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.