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Finding the Fourth Proportional to 181.95, 251.03 and 129.51

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Solution

The fourth proportional to 181.95, 251.03 and 129.51 is: 178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.95 : 251.03 = 129.51 : x
  2. Step 2: Convert to fraction form
    181.95/251.03 = 129.51/x
  3. Step 3: Cross multiply
    181.95x = 251.03 × 129.51
  4. Step 4: Simplify right side
    181.95x = 32,510.90
  5. Step 5: Solve for x
    x = 32,510.90/181.95
  6. Step 6: Final answer
    x = 178.68

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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.