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Finding the Fourth Proportional to 208.42, 312.75 and 105.71

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Solution

The fourth proportional to 208.42, 312.75 and 105.71 is: 158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.42 : 312.75 = 105.71 : x
  2. Step 2: Convert to fraction form
    208.42/312.75 = 105.71/x
  3. Step 3: Cross multiply
    208.42x = 312.75 × 105.71
  4. Step 4: Simplify right side
    208.42x = 33,062.17
  5. Step 5: Solve for x
    x = 33,062.17/208.42
  6. Step 6: Final answer
    x = 158.63

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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.