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Finding the Fourth Proportional to 271.63, 407.31 and 149.77

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Solution

The fourth proportional to 271.63, 407.31 and 149.77 is: 224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.63 : 407.31 = 149.77 : x
  2. Step 2: Convert to fraction form
    271.63/407.31 = 149.77/x
  3. Step 3: Cross multiply
    271.63x = 407.31 × 149.77
  4. Step 4: Simplify right side
    271.63x = 61,002.82
  5. Step 5: Solve for x
    x = 61,002.82/271.63
  6. Step 6: Final answer
    x = 224.58

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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.