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Finding the Fourth Proportional to 206.24, 309.06 and 114.86

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Solution

The fourth proportional to 206.24, 309.06 and 114.86 is: 172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 309.06 = 114.86 : x
  2. Step 2: Convert to fraction form
    206.24/309.06 = 114.86/x
  3. Step 3: Cross multiply
    206.24x = 309.06 × 114.86
  4. Step 4: Simplify right side
    206.24x = 35,498.63
  5. Step 5: Solve for x
    x = 35,498.63/206.24
  6. Step 6: Final answer
    x = 172.12

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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.