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Finding the Fourth Proportional to 253.94, 381.12 and 185.60

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Solution

The fourth proportional to 253.94, 381.12 and 185.60 is: 278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.94 : 381.12 = 185.60 : x
  2. Step 2: Convert to fraction form
    253.94/381.12 = 185.60/x
  3. Step 3: Cross multiply
    253.94x = 381.12 × 185.60
  4. Step 4: Simplify right side
    253.94x = 70,733.97
  5. Step 5: Solve for x
    x = 70,733.97/253.94
  6. Step 6: Final answer
    x = 278.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.