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Finding the Fourth Proportional to 203.06, 304.13 and 111.63

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Solution

The fourth proportional to 203.06, 304.13 and 111.63 is: 167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.06 : 304.13 = 111.63 : x
  2. Step 2: Convert to fraction form
    203.06/304.13 = 111.63/x
  3. Step 3: Cross multiply
    203.06x = 304.13 × 111.63
  4. Step 4: Simplify right side
    203.06x = 33,950.03
  5. Step 5: Solve for x
    x = 33,950.03/203.06
  6. Step 6: Final answer
    x = 167.19

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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.