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Finding the Fourth Proportional to 208.40, 286.61 and 180.81

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Solution

The fourth proportional to 208.40, 286.61 and 180.81 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 286.61 = 180.81 : x
  2. Step 2: Convert to fraction form
    208.40/286.61 = 180.81/x
  3. Step 3: Cross multiply
    208.40x = 286.61 × 180.81
  4. Step 4: Simplify right side
    208.40x = 51,821.05
  5. Step 5: Solve for x
    x = 51,821.05/208.40
  6. Step 6: Final answer
    x = 248.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.