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Finding the Fourth Proportional to 254.43, 382.37 and 151.74

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Solution

The fourth proportional to 254.43, 382.37 and 151.74 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.43 : 382.37 = 151.74 : x
  2. Step 2: Convert to fraction form
    254.43/382.37 = 151.74/x
  3. Step 3: Cross multiply
    254.43x = 382.37 × 151.74
  4. Step 4: Simplify right side
    254.43x = 58,020.82
  5. Step 5: Solve for x
    x = 58,020.82/254.43
  6. Step 6: Final answer
    x = 228.04

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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.