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Finding the Fourth Proportional to 241.78, 332.09 and 202.90

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Solution

The fourth proportional to 241.78, 332.09 and 202.90 is: 278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.78 : 332.09 = 202.90 : x
  2. Step 2: Convert to fraction form
    241.78/332.09 = 202.90/x
  3. Step 3: Cross multiply
    241.78x = 332.09 × 202.90
  4. Step 4: Simplify right side
    241.78x = 67,381.06
  5. Step 5: Solve for x
    x = 67,381.06/241.78
  6. Step 6: Final answer
    x = 278.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.