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Finding the Fourth Proportional to 181.64, 250.66 and 102.96

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Solution

The fourth proportional to 181.64, 250.66 and 102.96 is: 142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.64 : 250.66 = 102.96 : x
  2. Step 2: Convert to fraction form
    181.64/250.66 = 102.96/x
  3. Step 3: Cross multiply
    181.64x = 250.66 × 102.96
  4. Step 4: Simplify right side
    181.64x = 25,806.70
  5. Step 5: Solve for x
    x = 25,806.70/181.64
  6. Step 6: Final answer
    x = 142.08

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Why These Related Problems?

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