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Finding the Fourth Proportional to 271.81, 374.88 and 219.34

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Solution

The fourth proportional to 271.81, 374.88 and 219.34 is: 302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.81 : 374.88 = 219.34 : x
  2. Step 2: Convert to fraction form
    271.81/374.88 = 219.34/x
  3. Step 3: Cross multiply
    271.81x = 374.88 × 219.34
  4. Step 4: Simplify right side
    271.81x = 82,226.18
  5. Step 5: Solve for x
    x = 82,226.18/271.81
  6. Step 6: Final answer
    x = 302.51

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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.