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Finding the Fourth Proportional to 262, 394.53 and 194.01

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Solution

The fourth proportional to 262, 394.53 and 194.01 is: 292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262 : 394.53 = 194.01 : x
  2. Step 2: Convert to fraction form
    262/394.53 = 194.01/x
  3. Step 3: Cross multiply
    262x = 394.53 × 194.01
  4. Step 4: Simplify right side
    262x = 76,540.31
  5. Step 5: Solve for x
    x = 76,540.31/262
  6. Step 6: Final answer
    x = 292.14

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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.