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Finding the Fourth Proportional to 202.37, 304.68 and 141.90

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Solution

The fourth proportional to 202.37, 304.68 and 141.90 is: 213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.37 : 304.68 = 141.90 : x
  2. Step 2: Convert to fraction form
    202.37/304.68 = 141.90/x
  3. Step 3: Cross multiply
    202.37x = 304.68 × 141.90
  4. Step 4: Simplify right side
    202.37x = 43,234.09
  5. Step 5: Solve for x
    x = 43,234.09/202.37
  6. Step 6: Final answer
    x = 213.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.