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Finding the Fourth Proportional to 206.69, 285.63 and 188.46

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Solution

The fourth proportional to 206.69, 285.63 and 188.46 is: 260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 285.63 = 188.46 : x
  2. Step 2: Convert to fraction form
    206.69/285.63 = 188.46/x
  3. Step 3: Cross multiply
    206.69x = 285.63 × 188.46
  4. Step 4: Simplify right side
    206.69x = 53,829.12
  5. Step 5: Solve for x
    x = 53,829.12/206.69
  6. Step 6: Final answer
    x = 260.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.