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Finding the Fourth Proportional to 270.41, 373.12 and 153.97

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Solution

The fourth proportional to 270.41, 373.12 and 153.97 is: 212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.41 : 373.12 = 153.97 : x
  2. Step 2: Convert to fraction form
    270.41/373.12 = 153.97/x
  3. Step 3: Cross multiply
    270.41x = 373.12 × 153.97
  4. Step 4: Simplify right side
    270.41x = 57,449.29
  5. Step 5: Solve for x
    x = 57,449.29/270.41
  6. Step 6: Final answer
    x = 212.45

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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.