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Finding the Fourth Proportional to 208.66, 287.82 and 138.64

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Solution

The fourth proportional to 208.66, 287.82 and 138.64 is: 191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 287.82 = 138.64 : x
  2. Step 2: Convert to fraction form
    208.66/287.82 = 138.64/x
  3. Step 3: Cross multiply
    208.66x = 287.82 × 138.64
  4. Step 4: Simplify right side
    208.66x = 39,903.36
  5. Step 5: Solve for x
    x = 39,903.36/208.66
  6. Step 6: Final answer
    x = 191.24

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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.