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Finding the Fourth Proportional to 261.30, 389.91 and 227.01

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Solution

The fourth proportional to 261.30, 389.91 and 227.01 is: 338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 389.91 = 227.01 : x
  2. Step 2: Convert to fraction form
    261.30/389.91 = 227.01/x
  3. Step 3: Cross multiply
    261.30x = 389.91 × 227.01
  4. Step 4: Simplify right side
    261.30x = 88,513.47
  5. Step 5: Solve for x
    x = 88,513.47/261.30
  6. Step 6: Final answer
    x = 338.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.