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Finding the Fourth Proportional to 208.59, 312.94 and 71.65

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Solution

The fourth proportional to 208.59, 312.94 and 71.65 is: 107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.59 : 312.94 = 71.65 : x
  2. Step 2: Convert to fraction form
    208.59/312.94 = 71.65/x
  3. Step 3: Cross multiply
    208.59x = 312.94 × 71.65
  4. Step 4: Simplify right side
    208.59x = 22,422.15
  5. Step 5: Solve for x
    x = 22,422.15/208.59
  6. Step 6: Final answer
    x = 107.49

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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.