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Finding the Fourth Proportional to 271.48, 405.56 and 247.24

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Solution

The fourth proportional to 271.48, 405.56 and 247.24 is: 369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.48 : 405.56 = 247.24 : x
  2. Step 2: Convert to fraction form
    271.48/405.56 = 247.24/x
  3. Step 3: Cross multiply
    271.48x = 405.56 × 247.24
  4. Step 4: Simplify right side
    271.48x = 100,270.65
  5. Step 5: Solve for x
    x = 100,270.65/271.48
  6. Step 6: Final answer
    x = 369.35

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Why These Related Problems?

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