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Finding the Fourth Proportional to 271.94, 375.27 and 147.59

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Solution

The fourth proportional to 271.94, 375.27 and 147.59 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 375.27 = 147.59 : x
  2. Step 2: Convert to fraction form
    271.94/375.27 = 147.59/x
  3. Step 3: Cross multiply
    271.94x = 375.27 × 147.59
  4. Step 4: Simplify right side
    271.94x = 55,387.04
  5. Step 5: Solve for x
    x = 55,387.04/271.94
  6. Step 6: Final answer
    x = 203.68

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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.