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Finding the Fourth Proportional to 238.22, 356.74 and 203.93

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Solution

The fourth proportional to 238.22, 356.74 and 203.93 is: 305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.22 : 356.74 = 203.93 : x
  2. Step 2: Convert to fraction form
    238.22/356.74 = 203.93/x
  3. Step 3: Cross multiply
    238.22x = 356.74 × 203.93
  4. Step 4: Simplify right side
    238.22x = 72,749.99
  5. Step 5: Solve for x
    x = 72,749.99/238.22
  6. Step 6: Final answer
    x = 305.39

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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.