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Finding the Fourth Proportional to 202.16, 301.64 and 181.64

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Solution

The fourth proportional to 202.16, 301.64 and 181.64 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 301.64 = 181.64 : x
  2. Step 2: Convert to fraction form
    202.16/301.64 = 181.64/x
  3. Step 3: Cross multiply
    202.16x = 301.64 × 181.64
  4. Step 4: Simplify right side
    202.16x = 54,789.89
  5. Step 5: Solve for x
    x = 54,789.89/202.16
  6. Step 6: Final answer
    x = 271.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.