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Finding the Fourth Proportional to 206.54, 309.84 and 115.16

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Solution

The fourth proportional to 206.54, 309.84 and 115.16 is: 172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.54 : 309.84 = 115.16 : x
  2. Step 2: Convert to fraction form
    206.54/309.84 = 115.16/x
  3. Step 3: Cross multiply
    206.54x = 309.84 × 115.16
  4. Step 4: Simplify right side
    206.54x = 35,681.17
  5. Step 5: Solve for x
    x = 35,681.17/206.54
  6. Step 6: Final answer
    x = 172.76

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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.