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Finding the Fourth Proportional to 441.26, 661.95 and 152.63

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Solution

The fourth proportional to 441.26, 661.95 and 152.63 is: 228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.26 : 661.95 = 152.63 : x
  2. Step 2: Convert to fraction form
    441.26/661.95 = 152.63/x
  3. Step 3: Cross multiply
    441.26x = 661.95 × 152.63
  4. Step 4: Simplify right side
    441.26x = 101,033.43
  5. Step 5: Solve for x
    x = 101,033.43/441.26
  6. Step 6: Final answer
    x = 228.97

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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.