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Finding the Fourth Proportional to 271.12, 407.07 and 178.72

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Solution

The fourth proportional to 271.12, 407.07 and 178.72 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.12 : 407.07 = 178.72 : x
  2. Step 2: Convert to fraction form
    271.12/407.07 = 178.72/x
  3. Step 3: Cross multiply
    271.12x = 407.07 × 178.72
  4. Step 4: Simplify right side
    271.12x = 72,751.55
  5. Step 5: Solve for x
    x = 72,751.55/271.12
  6. Step 6: Final answer
    x = 268.34

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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.