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Finding the Fourth Proportional to 181.16, 250.04 and 102.48

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Solution

The fourth proportional to 181.16, 250.04 and 102.48 is: 141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.16 : 250.04 = 102.48 : x
  2. Step 2: Convert to fraction form
    181.16/250.04 = 102.48/x
  3. Step 3: Cross multiply
    181.16x = 250.04 × 102.48
  4. Step 4: Simplify right side
    181.16x = 25,624.10
  5. Step 5: Solve for x
    x = 25,624.10/181.16
  6. Step 6: Final answer
    x = 141.44

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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.