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Finding the Fourth Proportional to 202.16, 303.06 and 105.86

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Solution

The fourth proportional to 202.16, 303.06 and 105.86 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 303.06 = 105.86 : x
  2. Step 2: Convert to fraction form
    202.16/303.06 = 105.86/x
  3. Step 3: Cross multiply
    202.16x = 303.06 × 105.86
  4. Step 4: Simplify right side
    202.16x = 32,081.93
  5. Step 5: Solve for x
    x = 32,081.93/202.16
  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.