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Finding the Fourth Proportional to 270.73, 373.42 and 192.16

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Solution

The fourth proportional to 270.73, 373.42 and 192.16 is: 265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.73 : 373.42 = 192.16 : x
  2. Step 2: Convert to fraction form
    270.73/373.42 = 192.16/x
  3. Step 3: Cross multiply
    270.73x = 373.42 × 192.16
  4. Step 4: Simplify right side
    270.73x = 71,756.39
  5. Step 5: Solve for x
    x = 71,756.39/270.73
  6. Step 6: Final answer
    x = 265.05

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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.