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Finding the Fourth Proportional to 206.69, 284.72 and 159.98

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Solution

The fourth proportional to 206.69, 284.72 and 159.98 is: 220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 284.72 = 159.98 : x
  2. Step 2: Convert to fraction form
    206.69/284.72 = 159.98/x
  3. Step 3: Cross multiply
    206.69x = 284.72 × 159.98
  4. Step 4: Simplify right side
    206.69x = 45,547.28
  5. Step 5: Solve for x
    x = 45,547.28/206.69
  6. Step 6: Final answer
    x = 220.37

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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.