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Finding the Fourth Proportional to 270.34, 373.02 and 159.78

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Solution

The fourth proportional to 270.34, 373.02 and 159.78 is: 220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.34 : 373.02 = 159.78 : x
  2. Step 2: Convert to fraction form
    270.34/373.02 = 159.78/x
  3. Step 3: Cross multiply
    270.34x = 373.02 × 159.78
  4. Step 4: Simplify right side
    270.34x = 59,601.14
  5. Step 5: Solve for x
    x = 59,601.14/270.34
  6. Step 6: Final answer
    x = 220.47

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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.