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Finding the Fourth Proportional to 271.74, 374.99 and 147.39

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Solution

The fourth proportional to 271.74, 374.99 and 147.39 is: 203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 374.99 = 147.39 : x
  2. Step 2: Convert to fraction form
    271.74/374.99 = 147.39/x
  3. Step 3: Cross multiply
    271.74x = 374.99 × 147.39
  4. Step 4: Simplify right side
    271.74x = 55,269.78
  5. Step 5: Solve for x
    x = 55,269.78/271.74
  6. Step 6: Final answer
    x = 203.40

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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.