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Finding the Fourth Proportional to 241.42, 362.10 and 97.14

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Solution

The fourth proportional to 241.42, 362.10 and 97.14 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.42 : 362.10 = 97.14 : x
  2. Step 2: Convert to fraction form
    241.42/362.10 = 97.14/x
  3. Step 3: Cross multiply
    241.42x = 362.10 × 97.14
  4. Step 4: Simplify right side
    241.42x = 35,174.39
  5. Step 5: Solve for x
    x = 35,174.39/241.42
  6. Step 6: Final answer
    x = 145.70

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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.