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Finding the Fourth Proportional to 270.82, 373.74 and 154.42

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Solution

The fourth proportional to 270.82, 373.74 and 154.42 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.82 : 373.74 = 154.42 : x
  2. Step 2: Convert to fraction form
    270.82/373.74 = 154.42/x
  3. Step 3: Cross multiply
    270.82x = 373.74 × 154.42
  4. Step 4: Simplify right side
    270.82x = 57,712.93
  5. Step 5: Solve for x
    x = 57,712.93/270.82
  6. Step 6: Final answer
    x = 213.10

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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.