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Finding the Fourth Proportional to 270.64, 405.81 and 116.48

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Solution

The fourth proportional to 270.64, 405.81 and 116.48 is: 174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.64 : 405.81 = 116.48 : x
  2. Step 2: Convert to fraction form
    270.64/405.81 = 116.48/x
  3. Step 3: Cross multiply
    270.64x = 405.81 × 116.48
  4. Step 4: Simplify right side
    270.64x = 47,268.75
  5. Step 5: Solve for x
    x = 47,268.75/270.64
  6. Step 6: Final answer
    x = 174.66

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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.