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Finding the Fourth Proportional to 208.58, 287.55 and 173.48

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Solution

The fourth proportional to 208.58, 287.55 and 173.48 is: 239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.58 : 287.55 = 173.48 : x
  2. Step 2: Convert to fraction form
    208.58/287.55 = 173.48/x
  3. Step 3: Cross multiply
    208.58x = 287.55 × 173.48
  4. Step 4: Simplify right side
    208.58x = 49,882.74
  5. Step 5: Solve for x
    x = 49,882.74/208.58
  6. Step 6: Final answer
    x = 239.16

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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.