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Finding the Fourth Proportional to 271.96, 407.72 and 150.28

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Solution

The fourth proportional to 271.96, 407.72 and 150.28 is: 225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.96 : 407.72 = 150.28 : x
  2. Step 2: Convert to fraction form
    271.96/407.72 = 150.28/x
  3. Step 3: Cross multiply
    271.96x = 407.72 × 150.28
  4. Step 4: Simplify right side
    271.96x = 61,272.16
  5. Step 5: Solve for x
    x = 61,272.16/271.96
  6. Step 6: Final answer
    x = 225.30

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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.