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Finding the Fourth Proportional to 241.63, 362.47 and 77.12

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Solution

The fourth proportional to 241.63, 362.47 and 77.12 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.63 : 362.47 = 77.12 : x
  2. Step 2: Convert to fraction form
    241.63/362.47 = 77.12/x
  3. Step 3: Cross multiply
    241.63x = 362.47 × 77.12
  4. Step 4: Simplify right side
    241.63x = 27,955.22
  5. Step 5: Solve for x
    x = 27,955.22/241.63
  6. Step 6: Final answer
    x = 115.69

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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.