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Finding the Fourth Proportional to 241.49, 362.64 and 201.22

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Solution

The fourth proportional to 241.49, 362.64 and 201.22 is: 302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.49 : 362.64 = 201.22 : x
  2. Step 2: Convert to fraction form
    241.49/362.64 = 201.22/x
  3. Step 3: Cross multiply
    241.49x = 362.64 × 201.22
  4. Step 4: Simplify right side
    241.49x = 72,970.42
  5. Step 5: Solve for x
    x = 72,970.42/241.49
  6. Step 6: Final answer
    x = 302.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.