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Finding the Fourth Proportional to 271.04, 372.96 and 234.02

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Solution

The fourth proportional to 271.04, 372.96 and 234.02 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.04 : 372.96 = 234.02 : x
  2. Step 2: Convert to fraction form
    271.04/372.96 = 234.02/x
  3. Step 3: Cross multiply
    271.04x = 372.96 × 234.02
  4. Step 4: Simplify right side
    271.04x = 87,280.10
  5. Step 5: Solve for x
    x = 87,280.10/271.04
  6. Step 6: Final answer
    x = 322.02

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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.