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Finding the Fourth Proportional to 207.76, 309.93 and 193.03

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Solution

The fourth proportional to 207.76, 309.93 and 193.03 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.76 : 309.93 = 193.03 : x
  2. Step 2: Convert to fraction form
    207.76/309.93 = 193.03/x
  3. Step 3: Cross multiply
    207.76x = 309.93 × 193.03
  4. Step 4: Simplify right side
    207.76x = 59,825.79
  5. Step 5: Solve for x
    x = 59,825.79/207.76
  6. Step 6: Final answer
    x = 287.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.