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Finding the Fourth Proportional to 632.39, 948.47 and 170.22

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Solution

The fourth proportional to 632.39, 948.47 and 170.22 is: 255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.39 : 948.47 = 170.22 : x
  2. Step 2: Convert to fraction form
    632.39/948.47 = 170.22/x
  3. Step 3: Cross multiply
    632.39x = 948.47 × 170.22
  4. Step 4: Simplify right side
    632.39x = 161,447.71
  5. Step 5: Solve for x
    x = 161,447.71/632.39
  6. Step 6: Final answer
    x = 255.30

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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.