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Finding the Fourth Proportional to 632.20, 948.31 and 193.46

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Solution

The fourth proportional to 632.20, 948.31 and 193.46 is: 290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.20 : 948.31 = 193.46 : x
  2. Step 2: Convert to fraction form
    632.20/948.31 = 193.46/x
  3. Step 3: Cross multiply
    632.20x = 948.31 × 193.46
  4. Step 4: Simplify right side
    632.20x = 183,454.34
  5. Step 5: Solve for x
    x = 183,454.34/632.20
  6. Step 6: Final answer
    x = 290.18

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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.