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Finding the Fourth Proportional to 206.30, 309.42 and 177.14

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Solution

The fourth proportional to 206.30, 309.42 and 177.14 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 309.42 = 177.14 : x
  2. Step 2: Convert to fraction form
    206.30/309.42 = 177.14/x
  3. Step 3: Cross multiply
    206.30x = 309.42 × 177.14
  4. Step 4: Simplify right side
    206.30x = 54,810.66
  5. Step 5: Solve for x
    x = 54,810.66/206.30
  6. Step 6: Final answer
    x = 265.68

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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.