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Finding the Fourth Proportional to 203.32, 280.58 and 111.32

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Solution

The fourth proportional to 203.32, 280.58 and 111.32 is: 153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.32 : 280.58 = 111.32 : x
  2. Step 2: Convert to fraction form
    203.32/280.58 = 111.32/x
  3. Step 3: Cross multiply
    203.32x = 280.58 × 111.32
  4. Step 4: Simplify right side
    203.32x = 31,234.17
  5. Step 5: Solve for x
    x = 31,234.17/203.32
  6. Step 6: Final answer
    x = 153.62

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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.