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Finding the Fourth Proportional to 203.23, 304.91 and 100.59

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Solution

The fourth proportional to 203.23, 304.91 and 100.59 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.23 : 304.91 = 100.59 : x
  2. Step 2: Convert to fraction form
    203.23/304.91 = 100.59/x
  3. Step 3: Cross multiply
    203.23x = 304.91 × 100.59
  4. Step 4: Simplify right side
    203.23x = 30,670.90
  5. Step 5: Solve for x
    x = 30,670.90/203.23
  6. Step 6: Final answer
    x = 150.92

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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.