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Finding the Fourth Proportional to 202.54, 303.94 and 106.42

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Solution

The fourth proportional to 202.54, 303.94 and 106.42 is: 159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.54 : 303.94 = 106.42 : x
  2. Step 2: Convert to fraction form
    202.54/303.94 = 106.42/x
  3. Step 3: Cross multiply
    202.54x = 303.94 × 106.42
  4. Step 4: Simplify right side
    202.54x = 32,345.29
  5. Step 5: Solve for x
    x = 32,345.29/202.54
  6. Step 6: Final answer
    x = 159.70

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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.