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Finding the Fourth Proportional to 203.16, 280.40 and 147.98

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Solution

The fourth proportional to 203.16, 280.40 and 147.98 is: 204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.16 : 280.40 = 147.98 : x
  2. Step 2: Convert to fraction form
    203.16/280.40 = 147.98/x
  3. Step 3: Cross multiply
    203.16x = 280.40 × 147.98
  4. Step 4: Simplify right side
    203.16x = 41,493.59
  5. Step 5: Solve for x
    x = 41,493.59/203.16
  6. Step 6: Final answer
    x = 204.24

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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.