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Finding the Fourth Proportional to 271.04, 374.08 and 232.16

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Solution

The fourth proportional to 271.04, 374.08 and 232.16 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.04 : 374.08 = 232.16 : x
  2. Step 2: Convert to fraction form
    271.04/374.08 = 232.16/x
  3. Step 3: Cross multiply
    271.04x = 374.08 × 232.16
  4. Step 4: Simplify right side
    271.04x = 86,846.41
  5. Step 5: Solve for x
    x = 86,846.41/271.04
  6. Step 6: Final answer
    x = 320.42

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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.