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Finding the Fourth Proportional to 208.40, 312.63 and 71.41

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Solution

The fourth proportional to 208.40, 312.63 and 71.41 is: 107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 312.63 = 71.41 : x
  2. Step 2: Convert to fraction form
    208.40/312.63 = 71.41/x
  3. Step 3: Cross multiply
    208.40x = 312.63 × 71.41
  4. Step 4: Simplify right side
    208.40x = 22,324.17
  5. Step 5: Solve for x
    x = 22,324.17/208.40
  6. Step 6: Final answer
    x = 107.12

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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.