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Finding the Fourth Proportional to 203.16, 304.56 and 106.86

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Solution

The fourth proportional to 203.16, 304.56 and 106.86 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.16 : 304.56 = 106.86 : x
  2. Step 2: Convert to fraction form
    203.16/304.56 = 106.86/x
  3. Step 3: Cross multiply
    203.16x = 304.56 × 106.86
  4. Step 4: Simplify right side
    203.16x = 32,545.28
  5. Step 5: Solve for x
    x = 32,545.28/203.16
  6. Step 6: Final answer
    x = 160.20

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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.