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Finding the Fourth Proportional to 271.32, 407.46 and 186.36

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Solution

The fourth proportional to 271.32, 407.46 and 186.36 is: 279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.32 : 407.46 = 186.36 : x
  2. Step 2: Convert to fraction form
    271.32/407.46 = 186.36/x
  3. Step 3: Cross multiply
    271.32x = 407.46 × 186.36
  4. Step 4: Simplify right side
    271.32x = 75,934.25
  5. Step 5: Solve for x
    x = 75,934.25/271.32
  6. Step 6: Final answer
    x = 279.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.