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Finding the Fourth Proportional to 241.97, 362.64 and 155.27

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Solution

The fourth proportional to 241.97, 362.64 and 155.27 is: 232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.97 : 362.64 = 155.27 : x
  2. Step 2: Convert to fraction form
    241.97/362.64 = 155.27/x
  3. Step 3: Cross multiply
    241.97x = 362.64 × 155.27
  4. Step 4: Simplify right side
    241.97x = 56,307.11
  5. Step 5: Solve for x
    x = 56,307.11/241.97
  6. Step 6: Final answer
    x = 232.70

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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.