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Finding the Fourth Proportional to 206.78, 309.56 and 176.00

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Solution

The fourth proportional to 206.78, 309.56 and 176.00 is: 263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 309.56 = 176.00 : x
  2. Step 2: Convert to fraction form
    206.78/309.56 = 176.00/x
  3. Step 3: Cross multiply
    206.78x = 309.56 × 176.00
  4. Step 4: Simplify right side
    206.78x = 54,480.13
  5. Step 5: Solve for x
    x = 54,480.13/206.78
  6. Step 6: Final answer
    x = 263.48

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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.