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Finding the Fourth Proportional to 181.16, 250 and 107.54

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Solution

The fourth proportional to 181.16, 250 and 107.54 is: 148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.16 : 250 = 107.54 : x
  2. Step 2: Convert to fraction form
    181.16/250 = 107.54/x
  3. Step 3: Cross multiply
    181.16x = 250 × 107.54
  4. Step 4: Simplify right side
    181.16x = 26,885
  5. Step 5: Solve for x
    x = 26,885/181.16
  6. Step 6: Final answer
    x = 148.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.