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Finding the Fourth Proportional to 254.80, 380.24 and 203.20

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Solution

The fourth proportional to 254.80, 380.24 and 203.20 is: 303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.80 : 380.24 = 203.20 : x
  2. Step 2: Convert to fraction form
    254.80/380.24 = 203.20/x
  3. Step 3: Cross multiply
    254.80x = 380.24 × 203.20
  4. Step 4: Simplify right side
    254.80x = 77,264.77
  5. Step 5: Solve for x
    x = 77,264.77/254.80
  6. Step 6: Final answer
    x = 303.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.