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Finding the Fourth Proportional to 203.61, 305.69 and 106.18

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Solution

The fourth proportional to 203.61, 305.69 and 106.18 is: 159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.61 : 305.69 = 106.18 : x
  2. Step 2: Convert to fraction form
    203.61/305.69 = 106.18/x
  3. Step 3: Cross multiply
    203.61x = 305.69 × 106.18
  4. Step 4: Simplify right side
    203.61x = 32,457.47
  5. Step 5: Solve for x
    x = 32,457.47/203.61
  6. Step 6: Final answer
    x = 159.41

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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.