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Finding the Fourth Proportional to 261.94, 361.47 and 151.42

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Solution

The fourth proportional to 261.94, 361.47 and 151.42 is: 208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.94 : 361.47 = 151.42 : x
  2. Step 2: Convert to fraction form
    261.94/361.47 = 151.42/x
  3. Step 3: Cross multiply
    261.94x = 361.47 × 151.42
  4. Step 4: Simplify right side
    261.94x = 54,733.79
  5. Step 5: Solve for x
    x = 54,733.79/261.94
  6. Step 6: Final answer
    x = 208.96

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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.