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Finding the Fourth Proportional to 208.61, 313 and 71.66

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Solution

The fourth proportional to 208.61, 313 and 71.66 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.61 : 313 = 71.66 : x
  2. Step 2: Convert to fraction form
    208.61/313 = 71.66/x
  3. Step 3: Cross multiply
    208.61x = 313 × 71.66
  4. Step 4: Simplify right side
    208.61x = 22,429.58
  5. Step 5: Solve for x
    x = 22,429.58/208.61
  6. Step 6: Final answer
    x = 107.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.