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Finding the Fourth Proportional to 241.64, 362.28 and 77.05

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Solution

The fourth proportional to 241.64, 362.28 and 77.05 is: 115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.64 : 362.28 = 77.05 : x
  2. Step 2: Convert to fraction form
    241.64/362.28 = 77.05/x
  3. Step 3: Cross multiply
    241.64x = 362.28 × 77.05
  4. Step 4: Simplify right side
    241.64x = 27,913.74
  5. Step 5: Solve for x
    x = 27,913.74/241.64
  6. Step 6: Final answer
    x = 115.52

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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.