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Finding the Fourth Proportional to 271.76, 407.88 and 174.46

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Solution

The fourth proportional to 271.76, 407.88 and 174.46 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.76 : 407.88 = 174.46 : x
  2. Step 2: Convert to fraction form
    271.76/407.88 = 174.46/x
  3. Step 3: Cross multiply
    271.76x = 407.88 × 174.46
  4. Step 4: Simplify right side
    271.76x = 71,158.74
  5. Step 5: Solve for x
    x = 71,158.74/271.76
  6. Step 6: Final answer
    x = 261.84

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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.