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Finding the Fourth Proportional to 202.15, 302.69 and 105.76

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Solution

The fourth proportional to 202.15, 302.69 and 105.76 is: 158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.15 : 302.69 = 105.76 : x
  2. Step 2: Convert to fraction form
    202.15/302.69 = 105.76/x
  3. Step 3: Cross multiply
    202.15x = 302.69 × 105.76
  4. Step 4: Simplify right side
    202.15x = 32,011.97
  5. Step 5: Solve for x
    x = 32,011.97/202.15
  6. Step 6: Final answer
    x = 158.36

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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.