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Finding the Fourth Proportional to 254.86, 381.94 and 177.70

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Solution

The fourth proportional to 254.86, 381.94 and 177.70 is: 266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.86 : 381.94 = 177.70 : x
  2. Step 2: Convert to fraction form
    254.86/381.94 = 177.70/x
  3. Step 3: Cross multiply
    254.86x = 381.94 × 177.70
  4. Step 4: Simplify right side
    254.86x = 67,870.74
  5. Step 5: Solve for x
    x = 67,870.74/254.86
  6. Step 6: Final answer
    x = 266.31

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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.