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Finding the Fourth Proportional to 184.41, 254.41 and 147.49

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Solution

The fourth proportional to 184.41, 254.41 and 147.49 is: 203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.41 : 254.41 = 147.49 : x
  2. Step 2: Convert to fraction form
    184.41/254.41 = 147.49/x
  3. Step 3: Cross multiply
    184.41x = 254.41 × 147.49
  4. Step 4: Simplify right side
    184.41x = 37,521.93
  5. Step 5: Solve for x
    x = 37,521.93/184.41
  6. Step 6: Final answer
    x = 203.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.