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Finding the Fourth Proportional to 206.70, 285.13 and 127.99

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Solution

The fourth proportional to 206.70, 285.13 and 127.99 is: 176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.70 : 285.13 = 127.99 : x
  2. Step 2: Convert to fraction form
    206.70/285.13 = 127.99/x
  3. Step 3: Cross multiply
    206.70x = 285.13 × 127.99
  4. Step 4: Simplify right side
    206.70x = 36,493.79
  5. Step 5: Solve for x
    x = 36,493.79/206.70
  6. Step 6: Final answer
    x = 176.55

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