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Finding the Fourth Proportional to 241.76, 333.68 and 164.24

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Solution

The fourth proportional to 241.76, 333.68 and 164.24 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.76 : 333.68 = 164.24 : x
  2. Step 2: Convert to fraction form
    241.76/333.68 = 164.24/x
  3. Step 3: Cross multiply
    241.76x = 333.68 × 164.24
  4. Step 4: Simplify right side
    241.76x = 54,803.60
  5. Step 5: Solve for x
    x = 54,803.60/241.76
  6. Step 6: Final answer
    x = 226.69

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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.