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Finding the Fourth Proportional to 417.83, 626.81 and 186.80

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Solution

The fourth proportional to 417.83, 626.81 and 186.80 is: 280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.83 : 626.81 = 186.80 : x
  2. Step 2: Convert to fraction form
    417.83/626.81 = 186.80/x
  3. Step 3: Cross multiply
    417.83x = 626.81 × 186.80
  4. Step 4: Simplify right side
    417.83x = 117,084.04
  5. Step 5: Solve for x
    x = 117,084.04/417.83
  6. Step 6: Final answer
    x = 280.22

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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.