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Finding the Fourth Proportional to 202.35, 302.84 and 141.29

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Solution

The fourth proportional to 202.35, 302.84 and 141.29 is: 211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.35 : 302.84 = 141.29 : x
  2. Step 2: Convert to fraction form
    202.35/302.84 = 141.29/x
  3. Step 3: Cross multiply
    202.35x = 302.84 × 141.29
  4. Step 4: Simplify right side
    202.35x = 42,789.41
  5. Step 5: Solve for x
    x = 42,789.41/202.35
  6. Step 6: Final answer
    x = 211.46

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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.