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Finding the Fourth Proportional to 271.46, 407.09 and 88.82

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Solution

The fourth proportional to 271.46, 407.09 and 88.82 is: 133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.46 : 407.09 = 88.82 : x
  2. Step 2: Convert to fraction form
    271.46/407.09 = 88.82/x
  3. Step 3: Cross multiply
    271.46x = 407.09 × 88.82
  4. Step 4: Simplify right side
    271.46x = 36,155.25
  5. Step 5: Solve for x
    x = 36,155.25/271.46
  6. Step 6: Final answer
    x = 133.19

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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.