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Finding the Fourth Proportional to 254.06, 380.58 and 192.47

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Solution

The fourth proportional to 254.06, 380.58 and 192.47 is: 288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.06 : 380.58 = 192.47 : x
  2. Step 2: Convert to fraction form
    254.06/380.58 = 192.47/x
  3. Step 3: Cross multiply
    254.06x = 380.58 × 192.47
  4. Step 4: Simplify right side
    254.06x = 73,251.37
  5. Step 5: Solve for x
    x = 73,251.37/254.06
  6. Step 6: Final answer
    x = 288.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.