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Finding the Fourth Proportional to 203.54, 304.86 and 157.76

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Solution

The fourth proportional to 203.54, 304.86 and 157.76 is: 236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.54 : 304.86 = 157.76 : x
  2. Step 2: Convert to fraction form
    203.54/304.86 = 157.76/x
  3. Step 3: Cross multiply
    203.54x = 304.86 × 157.76
  4. Step 4: Simplify right side
    203.54x = 48,093.19
  5. Step 5: Solve for x
    x = 48,093.19/203.54
  6. Step 6: Final answer
    x = 236.28

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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.