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Finding the Fourth Proportional to 270.66, 406.01 and 78.29

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Solution

The fourth proportional to 270.66, 406.01 and 78.29 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.66 : 406.01 = 78.29 : x
  2. Step 2: Convert to fraction form
    270.66/406.01 = 78.29/x
  3. Step 3: Cross multiply
    270.66x = 406.01 × 78.29
  4. Step 4: Simplify right side
    270.66x = 31,784.10
  5. Step 5: Solve for x
    x = 31,784.10/270.66
  6. Step 6: Final answer
    x = 117.43

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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.