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Finding the Fourth Proportional to 632.20, 948.33 and 170.02

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Solution

The fourth proportional to 632.20, 948.33 and 170.02 is: 255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.20 : 948.33 = 170.02 : x
  2. Step 2: Convert to fraction form
    632.20/948.33 = 170.02/x
  3. Step 3: Cross multiply
    632.20x = 948.33 × 170.02
  4. Step 4: Simplify right side
    632.20x = 161,235.07
  5. Step 5: Solve for x
    x = 161,235.07/632.20
  6. Step 6: Final answer
    x = 255.04

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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.