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Finding the Fourth Proportional to 208.61, 288.21 and 177.83

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Solution

The fourth proportional to 208.61, 288.21 and 177.83 is: 245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.61 : 288.21 = 177.83 : x
  2. Step 2: Convert to fraction form
    208.61/288.21 = 177.83/x
  3. Step 3: Cross multiply
    208.61x = 288.21 × 177.83
  4. Step 4: Simplify right side
    208.61x = 51,252.38
  5. Step 5: Solve for x
    x = 51,252.38/208.61
  6. Step 6: Final answer
    x = 245.69

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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.