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Finding the Fourth Proportional to 208.31, 312.47 and 162.70

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Solution

The fourth proportional to 208.31, 312.47 and 162.70 is: 244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.31 : 312.47 = 162.70 : x
  2. Step 2: Convert to fraction form
    208.31/312.47 = 162.70/x
  3. Step 3: Cross multiply
    208.31x = 312.47 × 162.70
  4. Step 4: Simplify right side
    208.31x = 50,838.06
  5. Step 5: Solve for x
    x = 50,838.06/208.31
  6. Step 6: Final answer
    x = 244.05

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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.