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Finding the Fourth Proportional to 270.68, 406.01 and 140.56

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Solution

The fourth proportional to 270.68, 406.01 and 140.56 is: 210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.68 : 406.01 = 140.56 : x
  2. Step 2: Convert to fraction form
    270.68/406.01 = 140.56/x
  3. Step 3: Cross multiply
    270.68x = 406.01 × 140.56
  4. Step 4: Simplify right side
    270.68x = 57,068.10
  5. Step 5: Solve for x
    x = 57,068.10/270.68
  6. Step 6: Final answer
    x = 210.84

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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.