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Finding the Fourth Proportional to 208.94, 288.36 and 173.91

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Solution

The fourth proportional to 208.94, 288.36 and 173.91 is: 240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 288.36 = 173.91 : x
  2. Step 2: Convert to fraction form
    208.94/288.36 = 173.91/x
  3. Step 3: Cross multiply
    208.94x = 288.36 × 173.91
  4. Step 4: Simplify right side
    208.94x = 50,148.69
  5. Step 5: Solve for x
    x = 50,148.69/208.94
  6. Step 6: Final answer
    x = 240.02

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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.