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Finding the Fourth Proportional to 202.58, 304.03 and 106.42

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Solution

The fourth proportional to 202.58, 304.03 and 106.42 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 304.03 = 106.42 : x
  2. Step 2: Convert to fraction form
    202.58/304.03 = 106.42/x
  3. Step 3: Cross multiply
    202.58x = 304.03 × 106.42
  4. Step 4: Simplify right side
    202.58x = 32,354.87
  5. Step 5: Solve for x
    x = 32,354.87/202.58
  6. Step 6: Final answer
    x = 159.71

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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.