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Finding the Fourth Proportional to 277.18, 382.34 and 199.60

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Solution

The fourth proportional to 277.18, 382.34 and 199.60 is: 275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.18 : 382.34 = 199.60 : x
  2. Step 2: Convert to fraction form
    277.18/382.34 = 199.60/x
  3. Step 3: Cross multiply
    277.18x = 382.34 × 199.60
  4. Step 4: Simplify right side
    277.18x = 76,315.06
  5. Step 5: Solve for x
    x = 76,315.06/277.18
  6. Step 6: Final answer
    x = 275.33

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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.