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Finding the Fourth Proportional to 417.80, 626.70 and 161.30

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Solution

The fourth proportional to 417.80, 626.70 and 161.30 is: 241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.80 : 626.70 = 161.30 : x
  2. Step 2: Convert to fraction form
    417.80/626.70 = 161.30/x
  3. Step 3: Cross multiply
    417.80x = 626.70 × 161.30
  4. Step 4: Simplify right side
    417.80x = 101,086.71
  5. Step 5: Solve for x
    x = 101,086.71/417.80
  6. Step 6: Final answer
    x = 241.95

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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.