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Finding the Fourth Proportional to 206.51, 284.66 and 162.14

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Solution

The fourth proportional to 206.51, 284.66 and 162.14 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.51 : 284.66 = 162.14 : x
  2. Step 2: Convert to fraction form
    206.51/284.66 = 162.14/x
  3. Step 3: Cross multiply
    206.51x = 284.66 × 162.14
  4. Step 4: Simplify right side
    206.51x = 46,152.54
  5. Step 5: Solve for x
    x = 46,152.54/206.51
  6. Step 6: Final answer
    x = 223.49

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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.