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Finding the Fourth Proportional to 270.56, 406.10 and 210.34

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Solution

The fourth proportional to 270.56, 406.10 and 210.34 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.56 : 406.10 = 210.34 : x
  2. Step 2: Convert to fraction form
    270.56/406.10 = 210.34/x
  3. Step 3: Cross multiply
    270.56x = 406.10 × 210.34
  4. Step 4: Simplify right side
    270.56x = 85,419.07
  5. Step 5: Solve for x
    x = 85,419.07/270.56
  6. Step 6: Final answer
    x = 315.71

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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.