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Finding the Fourth Proportional to 270.12, 372.68 and 159.64

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Solution

The fourth proportional to 270.12, 372.68 and 159.64 is: 220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.12 : 372.68 = 159.64 : x
  2. Step 2: Convert to fraction form
    270.12/372.68 = 159.64/x
  3. Step 3: Cross multiply
    270.12x = 372.68 × 159.64
  4. Step 4: Simplify right side
    270.12x = 59,494.64
  5. Step 5: Solve for x
    x = 59,494.64/270.12
  6. Step 6: Final answer
    x = 220.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.