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Finding the Fourth Proportional to 445.64, 668.39 and 153.18

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Solution

The fourth proportional to 445.64, 668.39 and 153.18 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.64 : 668.39 = 153.18 : x
  2. Step 2: Convert to fraction form
    445.64/668.39 = 153.18/x
  3. Step 3: Cross multiply
    445.64x = 668.39 × 153.18
  4. Step 4: Simplify right side
    445.64x = 102,383.21
  5. Step 5: Solve for x
    x = 102,383.21/445.64
  6. Step 6: Final answer
    x = 229.75

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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.