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Finding the Fourth Proportional to 241.05, 332.46 and 202.06

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Solution

The fourth proportional to 241.05, 332.46 and 202.06 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.05 : 332.46 = 202.06 : x
  2. Step 2: Convert to fraction form
    241.05/332.46 = 202.06/x
  3. Step 3: Cross multiply
    241.05x = 332.46 × 202.06
  4. Step 4: Simplify right side
    241.05x = 67,176.87
  5. Step 5: Solve for x
    x = 67,176.87/241.05
  6. Step 6: Final answer
    x = 278.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.