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Finding the Fourth Proportional to 241.04, 362.88 and 164.49

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Solution

The fourth proportional to 241.04, 362.88 and 164.49 is: 247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.04 : 362.88 = 164.49 : x
  2. Step 2: Convert to fraction form
    241.04/362.88 = 164.49/x
  3. Step 3: Cross multiply
    241.04x = 362.88 × 164.49
  4. Step 4: Simplify right side
    241.04x = 59,688.59
  5. Step 5: Solve for x
    x = 59,688.59/241.04
  6. Step 6: Final answer
    x = 247.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.