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Finding the Fourth Proportional to 203.09, 304.34 and 157.22

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Solution

The fourth proportional to 203.09, 304.34 and 157.22 is: 235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.09 : 304.34 = 157.22 : x
  2. Step 2: Convert to fraction form
    203.09/304.34 = 157.22/x
  3. Step 3: Cross multiply
    203.09x = 304.34 × 157.22
  4. Step 4: Simplify right side
    203.09x = 47,847.17
  5. Step 5: Solve for x
    x = 47,847.17/203.09
  6. Step 6: Final answer
    x = 235.60

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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.