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Finding the Fourth Proportional to 208.20, 312.30 and 105.34

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Solution

The fourth proportional to 208.20, 312.30 and 105.34 is: 158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 312.30 = 105.34 : x
  2. Step 2: Convert to fraction form
    208.20/312.30 = 105.34/x
  3. Step 3: Cross multiply
    208.20x = 312.30 × 105.34
  4. Step 4: Simplify right side
    208.20x = 32,897.68
  5. Step 5: Solve for x
    x = 32,897.68/208.20
  6. Step 6: Final answer
    x = 158.01

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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.