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Finding the Fourth Proportional to 441.32, 661.80 and 133.06

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Solution

The fourth proportional to 441.32, 661.80 and 133.06 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.32 : 661.80 = 133.06 : x
  2. Step 2: Convert to fraction form
    441.32/661.80 = 133.06/x
  3. Step 3: Cross multiply
    441.32x = 661.80 × 133.06
  4. Step 4: Simplify right side
    441.32x = 88,059.11
  5. Step 5: Solve for x
    x = 88,059.11/441.32
  6. Step 6: Final answer
    x = 199.54

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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.