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Finding the Fourth Proportional to 251.16, 346.16 and 181.02

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Solution

The fourth proportional to 251.16, 346.16 and 181.02 is: 249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.16 : 346.16 = 181.02 : x
  2. Step 2: Convert to fraction form
    251.16/346.16 = 181.02/x
  3. Step 3: Cross multiply
    251.16x = 346.16 × 181.02
  4. Step 4: Simplify right side
    251.16x = 62,660.98
  5. Step 5: Solve for x
    x = 62,660.98/251.16
  6. Step 6: Final answer
    x = 249.49

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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.