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Finding the Fourth Proportional to 632.25, 948.80 and 221.39

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Solution

The fourth proportional to 632.25, 948.80 and 221.39 is: 332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.25 : 948.80 = 221.39 : x
  2. Step 2: Convert to fraction form
    632.25/948.80 = 221.39/x
  3. Step 3: Cross multiply
    632.25x = 948.80 × 221.39
  4. Step 4: Simplify right side
    632.25x = 210,054.83
  5. Step 5: Solve for x
    x = 210,054.83/632.25
  6. Step 6: Final answer
    x = 332.23

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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.