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Finding the Fourth Proportional to 203.20, 304.92 and 105.76

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Solution

The fourth proportional to 203.20, 304.92 and 105.76 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.20 : 304.92 = 105.76 : x
  2. Step 2: Convert to fraction form
    203.20/304.92 = 105.76/x
  3. Step 3: Cross multiply
    203.20x = 304.92 × 105.76
  4. Step 4: Simplify right side
    203.20x = 32,248.34
  5. Step 5: Solve for x
    x = 32,248.34/203.20
  6. Step 6: Final answer
    x = 158.70

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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.