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Finding the Fourth Proportional to 298.82, 412.13 and 193.93

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Solution

The fourth proportional to 298.82, 412.13 and 193.93 is: 267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 412.13 = 193.93 : x
  2. Step 2: Convert to fraction form
    298.82/412.13 = 193.93/x
  3. Step 3: Cross multiply
    298.82x = 412.13 × 193.93
  4. Step 4: Simplify right side
    298.82x = 79,924.37
  5. Step 5: Solve for x
    x = 79,924.37/298.82
  6. Step 6: Final answer
    x = 267.47

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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.