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Finding the Fourth Proportional to 270.95, 406.28 and 140.63

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Solution

The fourth proportional to 270.95, 406.28 and 140.63 is: 210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.95 : 406.28 = 140.63 : x
  2. Step 2: Convert to fraction form
    270.95/406.28 = 140.63/x
  3. Step 3: Cross multiply
    270.95x = 406.28 × 140.63
  4. Step 4: Simplify right side
    270.95x = 57,135.76
  5. Step 5: Solve for x
    x = 57,135.76/270.95
  6. Step 6: Final answer
    x = 210.87

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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.