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Finding the Fourth Proportional to 334.83, 502.25 and 181.07

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Solution

The fourth proportional to 334.83, 502.25 and 181.07 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.83 : 502.25 = 181.07 : x
  2. Step 2: Convert to fraction form
    334.83/502.25 = 181.07/x
  3. Step 3: Cross multiply
    334.83x = 502.25 × 181.07
  4. Step 4: Simplify right side
    334.83x = 90,938.99
  5. Step 5: Solve for x
    x = 90,938.99/334.83
  6. Step 6: Final answer
    x = 271.60

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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.