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Finding the Fourth Proportional to 241.84, 362.93 and 97.57

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Solution

The fourth proportional to 241.84, 362.93 and 97.57 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.84 : 362.93 = 97.57 : x
  2. Step 2: Convert to fraction form
    241.84/362.93 = 97.57/x
  3. Step 3: Cross multiply
    241.84x = 362.93 × 97.57
  4. Step 4: Simplify right side
    241.84x = 35,411.08
  5. Step 5: Solve for x
    x = 35,411.08/241.84
  6. Step 6: Final answer
    x = 146.42

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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.