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Finding the Fourth Proportional to 277.16, 382.74 and 173.84

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Solution

The fourth proportional to 277.16, 382.74 and 173.84 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 382.74 = 173.84 : x
  2. Step 2: Convert to fraction form
    277.16/382.74 = 173.84/x
  3. Step 3: Cross multiply
    277.16x = 382.74 × 173.84
  4. Step 4: Simplify right side
    277.16x = 66,535.52
  5. Step 5: Solve for x
    x = 66,535.52/277.16
  6. Step 6: Final answer
    x = 240.06

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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.