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Finding the Fourth Proportional to 237.26, 326.76 and 208.10

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Solution

The fourth proportional to 237.26, 326.76 and 208.10 is: 286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.26 : 326.76 = 208.10 : x
  2. Step 2: Convert to fraction form
    237.26/326.76 = 208.10/x
  3. Step 3: Cross multiply
    237.26x = 326.76 × 208.10
  4. Step 4: Simplify right side
    237.26x = 67,998.76
  5. Step 5: Solve for x
    x = 67,998.76/237.26
  6. Step 6: Final answer
    x = 286.60

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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.