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Finding the Fourth Proportional to 632.82, 949.22 and 194.07

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Solution

The fourth proportional to 632.82, 949.22 and 194.07 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.82 : 949.22 = 194.07 : x
  2. Step 2: Convert to fraction form
    632.82/949.22 = 194.07/x
  3. Step 3: Cross multiply
    632.82x = 949.22 × 194.07
  4. Step 4: Simplify right side
    632.82x = 184,215.13
  5. Step 5: Solve for x
    x = 184,215.13/632.82
  6. Step 6: Final answer
    x = 291.10

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Why These Related Problems?

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