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Finding the Fourth Proportional to 206.70, 284.67 and 184.38

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Solution

The fourth proportional to 206.70, 284.67 and 184.38 is: 253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.70 : 284.67 = 184.38 : x
  2. Step 2: Convert to fraction form
    206.70/284.67 = 184.38/x
  3. Step 3: Cross multiply
    206.70x = 284.67 × 184.38
  4. Step 4: Simplify right side
    206.70x = 52,487.45
  5. Step 5: Solve for x
    x = 52,487.45/206.70
  6. Step 6: Final answer
    x = 253.93

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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.