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Finding the Fourth Proportional to 277.40, 382.86 and 204.10

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Solution

The fourth proportional to 277.40, 382.86 and 204.10 is: 281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 382.86 = 204.10 : x
  2. Step 2: Convert to fraction form
    277.40/382.86 = 204.10/x
  3. Step 3: Cross multiply
    277.40x = 382.86 × 204.10
  4. Step 4: Simplify right side
    277.40x = 78,139.81
  5. Step 5: Solve for x
    x = 78,139.81/277.40
  6. Step 6: Final answer
    x = 281.69

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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.