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Finding the Fourth Proportional to 241.64, 360.71 and 212.44

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Solution

The fourth proportional to 241.64, 360.71 and 212.44 is: 317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.64 : 360.71 = 212.44 : x
  2. Step 2: Convert to fraction form
    241.64/360.71 = 212.44/x
  3. Step 3: Cross multiply
    241.64x = 360.71 × 212.44
  4. Step 4: Simplify right side
    241.64x = 76,629.23
  5. Step 5: Solve for x
    x = 76,629.23/241.64
  6. Step 6: Final answer
    x = 317.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.