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Finding the Fourth Proportional to 206.64, 309.93 and 78.39

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Solution

The fourth proportional to 206.64, 309.93 and 78.39 is: 117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.64 : 309.93 = 78.39 : x
  2. Step 2: Convert to fraction form
    206.64/309.93 = 78.39/x
  3. Step 3: Cross multiply
    206.64x = 309.93 × 78.39
  4. Step 4: Simplify right side
    206.64x = 24,295.41
  5. Step 5: Solve for x
    x = 24,295.41/206.64
  6. Step 6: Final answer
    x = 117.57

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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.