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Finding the Fourth Proportional to 203.45, 305.13 and 120.01

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Solution

The fourth proportional to 203.45, 305.13 and 120.01 is: 179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.45 : 305.13 = 120.01 : x
  2. Step 2: Convert to fraction form
    203.45/305.13 = 120.01/x
  3. Step 3: Cross multiply
    203.45x = 305.13 × 120.01
  4. Step 4: Simplify right side
    203.45x = 36,618.65
  5. Step 5: Solve for x
    x = 36,618.65/203.45
  6. Step 6: Final answer
    x = 179.99

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Why These Related Problems?

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