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Finding the Fourth Proportional to 277.55, 382.95 and 207.84

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Solution

The fourth proportional to 277.55, 382.95 and 207.84 is: 286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.55 : 382.95 = 207.84 : x
  2. Step 2: Convert to fraction form
    277.55/382.95 = 207.84/x
  3. Step 3: Cross multiply
    277.55x = 382.95 × 207.84
  4. Step 4: Simplify right side
    277.55x = 79,593.27
  5. Step 5: Solve for x
    x = 79,593.27/277.55
  6. Step 6: Final answer
    x = 286.77

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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.