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Finding the Fourth Proportional to 261.97, 361.52 and 158.47

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Solution

The fourth proportional to 261.97, 361.52 and 158.47 is: 218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.97 : 361.52 = 158.47 : x
  2. Step 2: Convert to fraction form
    261.97/361.52 = 158.47/x
  3. Step 3: Cross multiply
    261.97x = 361.52 × 158.47
  4. Step 4: Simplify right side
    261.97x = 57,290.07
  5. Step 5: Solve for x
    x = 57,290.07/261.97
  6. Step 6: Final answer
    x = 218.69

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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.