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Finding the Fourth Proportional to 203.19, 305.01 and 154.32

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Solution

The fourth proportional to 203.19, 305.01 and 154.32 is: 231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.19 : 305.01 = 154.32 : x
  2. Step 2: Convert to fraction form
    203.19/305.01 = 154.32/x
  3. Step 3: Cross multiply
    203.19x = 305.01 × 154.32
  4. Step 4: Simplify right side
    203.19x = 47,069.14
  5. Step 5: Solve for x
    x = 47,069.14/203.19
  6. Step 6: Final answer
    x = 231.65

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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.