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Finding the Fourth Proportional to 271.06, 374.04 and 212.10

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Solution

The fourth proportional to 271.06, 374.04 and 212.10 is: 292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.06 : 374.04 = 212.10 : x
  2. Step 2: Convert to fraction form
    271.06/374.04 = 212.10/x
  3. Step 3: Cross multiply
    271.06x = 374.04 × 212.10
  4. Step 4: Simplify right side
    271.06x = 79,333.88
  5. Step 5: Solve for x
    x = 79,333.88/271.06
  6. Step 6: Final answer
    x = 292.68

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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.