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Finding the Fourth Proportional to 206.63, 309.53 and 103.61

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Solution

The fourth proportional to 206.63, 309.53 and 103.61 is: 155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.63 : 309.53 = 103.61 : x
  2. Step 2: Convert to fraction form
    206.63/309.53 = 103.61/x
  3. Step 3: Cross multiply
    206.63x = 309.53 × 103.61
  4. Step 4: Simplify right side
    206.63x = 32,069.11
  5. Step 5: Solve for x
    x = 32,069.11/206.63
  6. Step 6: Final answer
    x = 155.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.