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Finding the Fourth Proportional to 632.53, 948.89 and 199.54

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Solution

The fourth proportional to 632.53, 948.89 and 199.54 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.53 : 948.89 = 199.54 : x
  2. Step 2: Convert to fraction form
    632.53/948.89 = 199.54/x
  3. Step 3: Cross multiply
    632.53x = 948.89 × 199.54
  4. Step 4: Simplify right side
    632.53x = 189,341.51
  5. Step 5: Solve for x
    x = 189,341.51/632.53
  6. Step 6: Final answer
    x = 299.34

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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.