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Finding the Fourth Proportional to 202.62, 304.12 and 106.50

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Solution

The fourth proportional to 202.62, 304.12 and 106.50 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.62 : 304.12 = 106.50 : x
  2. Step 2: Convert to fraction form
    202.62/304.12 = 106.50/x
  3. Step 3: Cross multiply
    202.62x = 304.12 × 106.50
  4. Step 4: Simplify right side
    202.62x = 32,388.78
  5. Step 5: Solve for x
    x = 32,388.78/202.62
  6. Step 6: Final answer
    x = 159.85

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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.