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Finding the Fourth Proportional to 241.66, 362.47 and 97.28

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Solution

The fourth proportional to 241.66, 362.47 and 97.28 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.66 : 362.47 = 97.28 : x
  2. Step 2: Convert to fraction form
    241.66/362.47 = 97.28/x
  3. Step 3: Cross multiply
    241.66x = 362.47 × 97.28
  4. Step 4: Simplify right side
    241.66x = 35,261.08
  5. Step 5: Solve for x
    x = 35,261.08/241.66
  6. Step 6: Final answer
    x = 145.91

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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.