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Finding the Fourth Proportional to 206.64, 309.18 and 145.47

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Solution

The fourth proportional to 206.64, 309.18 and 145.47 is: 217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.64 : 309.18 = 145.47 : x
  2. Step 2: Convert to fraction form
    206.64/309.18 = 145.47/x
  3. Step 3: Cross multiply
    206.64x = 309.18 × 145.47
  4. Step 4: Simplify right side
    206.64x = 44,976.41
  5. Step 5: Solve for x
    x = 44,976.41/206.64
  6. Step 6: Final answer
    x = 217.66

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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.