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Finding the Fourth Proportional to 334.24, 500.58 and 161.02

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Solution

The fourth proportional to 334.24, 500.58 and 161.02 is: 241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.24 : 500.58 = 161.02 : x
  2. Step 2: Convert to fraction form
    334.24/500.58 = 161.02/x
  3. Step 3: Cross multiply
    334.24x = 500.58 × 161.02
  4. Step 4: Simplify right side
    334.24x = 80,603.39
  5. Step 5: Solve for x
    x = 80,603.39/334.24
  6. Step 6: Final answer
    x = 241.15

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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.