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Finding the Fourth Proportional to 206.16, 284.51 and 117.66

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Solution

The fourth proportional to 206.16, 284.51 and 117.66 is: 162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 284.51 = 117.66 : x
  2. Step 2: Convert to fraction form
    206.16/284.51 = 117.66/x
  3. Step 3: Cross multiply
    206.16x = 284.51 × 117.66
  4. Step 4: Simplify right side
    206.16x = 33,476.81
  5. Step 5: Solve for x
    x = 33,476.81/206.16
  6. Step 6: Final answer
    x = 162.39

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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.