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Finding the Fourth Proportional to 271.52, 406.88 and 148.01

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Solution

The fourth proportional to 271.52, 406.88 and 148.01 is: 221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.52 : 406.88 = 148.01 : x
  2. Step 2: Convert to fraction form
    271.52/406.88 = 148.01/x
  3. Step 3: Cross multiply
    271.52x = 406.88 × 148.01
  4. Step 4: Simplify right side
    271.52x = 60,222.59
  5. Step 5: Solve for x
    x = 60,222.59/271.52
  6. Step 6: Final answer
    x = 221.80

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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.