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Finding the Fourth Proportional to 225.17, 337.17 and 181.64

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Solution

The fourth proportional to 225.17, 337.17 and 181.64 is: 271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.17 : 337.17 = 181.64 : x
  2. Step 2: Convert to fraction form
    225.17/337.17 = 181.64/x
  3. Step 3: Cross multiply
    225.17x = 337.17 × 181.64
  4. Step 4: Simplify right side
    225.17x = 61,243.56
  5. Step 5: Solve for x
    x = 61,243.56/225.17
  6. Step 6: Final answer
    x = 271.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.