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Finding the Fourth Proportional to 632.67, 948.93 and 199.86

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Solution

The fourth proportional to 632.67, 948.93 and 199.86 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.67 : 948.93 = 199.86 : x
  2. Step 2: Convert to fraction form
    632.67/948.93 = 199.86/x
  3. Step 3: Cross multiply
    632.67x = 948.93 × 199.86
  4. Step 4: Simplify right side
    632.67x = 189,653.15
  5. Step 5: Solve for x
    x = 189,653.15/632.67
  6. Step 6: Final answer
    x = 299.77

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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.