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Finding the Fourth Proportional to 632.66, 948.83 and 199.71

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Solution

The fourth proportional to 632.66, 948.83 and 199.71 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.66 : 948.83 = 199.71 : x
  2. Step 2: Convert to fraction form
    632.66/948.83 = 199.71/x
  3. Step 3: Cross multiply
    632.66x = 948.83 × 199.71
  4. Step 4: Simplify right side
    632.66x = 189,489.84
  5. Step 5: Solve for x
    x = 189,489.84/632.66
  6. Step 6: Final answer
    x = 299.52

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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.