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Finding the Fourth Proportional to 270.32, 373.14 and 159.86

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Solution

The fourth proportional to 270.32, 373.14 and 159.86 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 373.14 = 159.86 : x
  2. Step 2: Convert to fraction form
    270.32/373.14 = 159.86/x
  3. Step 3: Cross multiply
    270.32x = 373.14 × 159.86
  4. Step 4: Simplify right side
    270.32x = 59,650.16
  5. Step 5: Solve for x
    x = 59,650.16/270.32
  6. Step 6: Final answer
    x = 220.66

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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.