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Finding the Fourth Proportional to 441.28, 661.97 and 152.72

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Solution

The fourth proportional to 441.28, 661.97 and 152.72 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.28 : 661.97 = 152.72 : x
  2. Step 2: Convert to fraction form
    441.28/661.97 = 152.72/x
  3. Step 3: Cross multiply
    441.28x = 661.97 × 152.72
  4. Step 4: Simplify right side
    441.28x = 101,095.61
  5. Step 5: Solve for x
    x = 101,095.61/441.28
  6. Step 6: Final answer
    x = 229.10

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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.