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Finding the Fourth Proportional to 271.62, 407.07 and 127.08

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Solution

The fourth proportional to 271.62, 407.07 and 127.08 is: 190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.62 : 407.07 = 127.08 : x
  2. Step 2: Convert to fraction form
    271.62/407.07 = 127.08/x
  3. Step 3: Cross multiply
    271.62x = 407.07 × 127.08
  4. Step 4: Simplify right side
    271.62x = 51,730.46
  5. Step 5: Solve for x
    x = 51,730.46/271.62
  6. Step 6: Final answer
    x = 190.45

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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.