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Finding the Fourth Proportional to 207.54, 312.92 and 193.62

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Solution

The fourth proportional to 207.54, 312.92 and 193.62 is: 291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.54 : 312.92 = 193.62 : x
  2. Step 2: Convert to fraction form
    207.54/312.92 = 193.62/x
  3. Step 3: Cross multiply
    207.54x = 312.92 × 193.62
  4. Step 4: Simplify right side
    207.54x = 60,586.60
  5. Step 5: Solve for x
    x = 60,586.60/207.54
  6. Step 6: Final answer
    x = 291.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.