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Finding the Fourth Proportional to 208.39, 287.40 and 164.65

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Solution

The fourth proportional to 208.39, 287.40 and 164.65 is: 227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.39 : 287.40 = 164.65 : x
  2. Step 2: Convert to fraction form
    208.39/287.40 = 164.65/x
  3. Step 3: Cross multiply
    208.39x = 287.40 × 164.65
  4. Step 4: Simplify right side
    208.39x = 47,320.41
  5. Step 5: Solve for x
    x = 47,320.41/208.39
  6. Step 6: Final answer
    x = 227.08

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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.