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Finding the Fourth Proportional to 277.07, 382.19 and 183.81

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Solution

The fourth proportional to 277.07, 382.19 and 183.81 is: 253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.07 : 382.19 = 183.81 : x
  2. Step 2: Convert to fraction form
    277.07/382.19 = 183.81/x
  3. Step 3: Cross multiply
    277.07x = 382.19 × 183.81
  4. Step 4: Simplify right side
    277.07x = 70,249.42
  5. Step 5: Solve for x
    x = 70,249.42/277.07
  6. Step 6: Final answer
    x = 253.55

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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.