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Finding the Fourth Proportional to 253.91, 381.06 and 185.46

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Solution

The fourth proportional to 253.91, 381.06 and 185.46 is: 278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.91 : 381.06 = 185.46 : x
  2. Step 2: Convert to fraction form
    253.91/381.06 = 185.46/x
  3. Step 3: Cross multiply
    253.91x = 381.06 × 185.46
  4. Step 4: Simplify right side
    253.91x = 70,671.39
  5. Step 5: Solve for x
    x = 70,671.39/253.91
  6. Step 6: Final answer
    x = 278.34

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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.