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Finding the Fourth Proportional to 434.82, 652.30 and 161.11

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Solution

The fourth proportional to 434.82, 652.30 and 161.11 is: 241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.82 : 652.30 = 161.11 : x
  2. Step 2: Convert to fraction form
    434.82/652.30 = 161.11/x
  3. Step 3: Cross multiply
    434.82x = 652.30 × 161.11
  4. Step 4: Simplify right side
    434.82x = 105,092.05
  5. Step 5: Solve for x
    x = 105,092.05/434.82
  6. Step 6: Final answer
    x = 241.69

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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.