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Finding the Fourth Proportional to 254.51, 380.82 and 151.85

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Solution

The fourth proportional to 254.51, 380.82 and 151.85 is: 227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.51 : 380.82 = 151.85 : x
  2. Step 2: Convert to fraction form
    254.51/380.82 = 151.85/x
  3. Step 3: Cross multiply
    254.51x = 380.82 × 151.85
  4. Step 4: Simplify right side
    254.51x = 57,827.52
  5. Step 5: Solve for x
    x = 57,827.52/254.51
  6. Step 6: Final answer
    x = 227.21

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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.