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Finding the Fourth Proportional to 270.14, 371.88 and 233.09

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Solution

The fourth proportional to 270.14, 371.88 and 233.09 is: 320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.14 : 371.88 = 233.09 : x
  2. Step 2: Convert to fraction form
    270.14/371.88 = 233.09/x
  3. Step 3: Cross multiply
    270.14x = 371.88 × 233.09
  4. Step 4: Simplify right side
    270.14x = 86,681.51
  5. Step 5: Solve for x
    x = 86,681.51/270.14
  6. Step 6: Final answer
    x = 320.88

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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.