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Finding the Fourth Proportional to 206.36, 284.74 and 117.81

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Solution

The fourth proportional to 206.36, 284.74 and 117.81 is: 162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.36 : 284.74 = 117.81 : x
  2. Step 2: Convert to fraction form
    206.36/284.74 = 117.81/x
  3. Step 3: Cross multiply
    206.36x = 284.74 × 117.81
  4. Step 4: Simplify right side
    206.36x = 33,545.22
  5. Step 5: Solve for x
    x = 33,545.22/206.36
  6. Step 6: Final answer
    x = 162.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.