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Finding the Fourth Proportional to 271.32, 405.28 and 225.71

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Solution

The fourth proportional to 271.32, 405.28 and 225.71 is: 337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.32 : 405.28 = 225.71 : x
  2. Step 2: Convert to fraction form
    271.32/405.28 = 225.71/x
  3. Step 3: Cross multiply
    271.32x = 405.28 × 225.71
  4. Step 4: Simplify right side
    271.32x = 91,473.46
  5. Step 5: Solve for x
    x = 91,473.46/271.32
  6. Step 6: Final answer
    x = 337.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.