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Finding the Fourth Proportional to 262.64, 394.14 and 194.34

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Solution

The fourth proportional to 262.64, 394.14 and 194.34 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 394.14 = 194.34 : x
  2. Step 2: Convert to fraction form
    262.64/394.14 = 194.34/x
  3. Step 3: Cross multiply
    262.64x = 394.14 × 194.34
  4. Step 4: Simplify right side
    262.64x = 76,597.17
  5. Step 5: Solve for x
    x = 76,597.17/262.64
  6. Step 6: Final answer
    x = 291.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.