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Finding the Fourth Proportional to 203.30, 304.47 and 159.86

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Solution

The fourth proportional to 203.30, 304.47 and 159.86 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.30 : 304.47 = 159.86 : x
  2. Step 2: Convert to fraction form
    203.30/304.47 = 159.86/x
  3. Step 3: Cross multiply
    203.30x = 304.47 × 159.86
  4. Step 4: Simplify right side
    203.30x = 48,671.05
  5. Step 5: Solve for x
    x = 48,671.05/203.30
  6. Step 6: Final answer
    x = 239.41

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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.