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Finding the Fourth Proportional to 277.93, 383.74 and 184.78

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Solution

The fourth proportional to 277.93, 383.74 and 184.78 is: 255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.93 : 383.74 = 184.78 : x
  2. Step 2: Convert to fraction form
    277.93/383.74 = 184.78/x
  3. Step 3: Cross multiply
    277.93x = 383.74 × 184.78
  4. Step 4: Simplify right side
    277.93x = 70,907.49
  5. Step 5: Solve for x
    x = 70,907.49/277.93
  6. Step 6: Final answer
    x = 255.13

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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.