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Finding the Fourth Proportional to 206.08, 283.76 and 162.40

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Solution

The fourth proportional to 206.08, 283.76 and 162.40 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 283.76 = 162.40 : x
  2. Step 2: Convert to fraction form
    206.08/283.76 = 162.40/x
  3. Step 3: Cross multiply
    206.08x = 283.76 × 162.40
  4. Step 4: Simplify right side
    206.08x = 46,082.62
  5. Step 5: Solve for x
    x = 46,082.62/206.08
  6. Step 6: Final answer
    x = 223.62

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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.