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Finding the Fourth Proportional to 275.84, 414.44 and 173.33

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Solution

The fourth proportional to 275.84, 414.44 and 173.33 is: 260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 414.44 = 173.33 : x
  2. Step 2: Convert to fraction form
    275.84/414.44 = 173.33/x
  3. Step 3: Cross multiply
    275.84x = 414.44 × 173.33
  4. Step 4: Simplify right side
    275.84x = 71,831.95
  5. Step 5: Solve for x
    x = 71,831.95/275.84
  6. Step 6: Final answer
    x = 260.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.