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Finding the Fourth Proportional to 241.27, 332.71 and 162.50

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Solution

The fourth proportional to 241.27, 332.71 and 162.50 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.27 : 332.71 = 162.50 : x
  2. Step 2: Convert to fraction form
    241.27/332.71 = 162.50/x
  3. Step 3: Cross multiply
    241.27x = 332.71 × 162.50
  4. Step 4: Simplify right side
    241.27x = 54,063.31
  5. Step 5: Solve for x
    x = 54,063.31/241.27
  6. Step 6: Final answer
    x = 224.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.