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Finding the Fourth Proportional to 254.96, 381.76 and 177.76

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Solution

The fourth proportional to 254.96, 381.76 and 177.76 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.96 : 381.76 = 177.76 : x
  2. Step 2: Convert to fraction form
    254.96/381.76 = 177.76/x
  3. Step 3: Cross multiply
    254.96x = 381.76 × 177.76
  4. Step 4: Simplify right side
    254.96x = 67,861.66
  5. Step 5: Solve for x
    x = 67,861.66/254.96
  6. Step 6: Final answer
    x = 266.17

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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.