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Finding the Fourth Proportional to 203.16, 304.74 and 159.78

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Solution

The fourth proportional to 203.16, 304.74 and 159.78 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.16 : 304.74 = 159.78 : x
  2. Step 2: Convert to fraction form
    203.16/304.74 = 159.78/x
  3. Step 3: Cross multiply
    203.16x = 304.74 × 159.78
  4. Step 4: Simplify right side
    203.16x = 48,691.36
  5. Step 5: Solve for x
    x = 48,691.36/203.16
  6. Step 6: Final answer
    x = 239.67

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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.