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Finding the Fourth Proportional to 241.02, 332.31 and 202.14

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Solution

The fourth proportional to 241.02, 332.31 and 202.14 is: 278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.02 : 332.31 = 202.14 : x
  2. Step 2: Convert to fraction form
    241.02/332.31 = 202.14/x
  3. Step 3: Cross multiply
    241.02x = 332.31 × 202.14
  4. Step 4: Simplify right side
    241.02x = 67,173.14
  5. Step 5: Solve for x
    x = 67,173.14/241.02
  6. Step 6: Final answer
    x = 278.70

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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.