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Finding the Fourth Proportional to 208.47, 287.58 and 161.77

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Solution

The fourth proportional to 208.47, 287.58 and 161.77 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.47 : 287.58 = 161.77 : x
  2. Step 2: Convert to fraction form
    208.47/287.58 = 161.77/x
  3. Step 3: Cross multiply
    208.47x = 287.58 × 161.77
  4. Step 4: Simplify right side
    208.47x = 46,521.69
  5. Step 5: Solve for x
    x = 46,521.69/208.47
  6. Step 6: Final answer
    x = 223.15

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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.