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Finding the Fourth Proportional to 140.10, 208.94 and 127.95

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Solution

The fourth proportional to 140.10, 208.94 and 127.95 is: 190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.10 : 208.94 = 127.95 : x
  2. Step 2: Convert to fraction form
    140.10/208.94 = 127.95/x
  3. Step 3: Cross multiply
    140.10x = 208.94 × 127.95
  4. Step 4: Simplify right side
    140.10x = 26,733.87
  5. Step 5: Solve for x
    x = 26,733.87/140.10
  6. Step 6: Final answer
    x = 190.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.