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Finding the Fourth Proportional to 271.36, 407 and 88.75

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Solution

The fourth proportional to 271.36, 407 and 88.75 is: 133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.36 : 407 = 88.75 : x
  2. Step 2: Convert to fraction form
    271.36/407 = 88.75/x
  3. Step 3: Cross multiply
    271.36x = 407 × 88.75
  4. Step 4: Simplify right side
    271.36x = 36,121.25
  5. Step 5: Solve for x
    x = 36,121.25/271.36
  6. Step 6: Final answer
    x = 133.11

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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.