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Finding the Fourth Proportional to 206.50, 284.98 and 117.98

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Solution

The fourth proportional to 206.50, 284.98 and 117.98 is: 162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 284.98 = 117.98 : x
  2. Step 2: Convert to fraction form
    206.50/284.98 = 117.98/x
  3. Step 3: Cross multiply
    206.50x = 284.98 × 117.98
  4. Step 4: Simplify right side
    206.50x = 33,621.94
  5. Step 5: Solve for x
    x = 33,621.94/206.50
  6. Step 6: Final answer
    x = 162.82

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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.