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Finding the Fourth Proportional to 261.70, 359.05 and 239.94

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Solution

The fourth proportional to 261.70, 359.05 and 239.94 is: 329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.70 : 359.05 = 239.94 : x
  2. Step 2: Convert to fraction form
    261.70/359.05 = 239.94/x
  3. Step 3: Cross multiply
    261.70x = 359.05 × 239.94
  4. Step 4: Simplify right side
    261.70x = 86,150.46
  5. Step 5: Solve for x
    x = 86,150.46/261.70
  6. Step 6: Final answer
    x = 329.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.