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Finding the Fourth Proportional to 446.12, 668.94 and 153.52

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Solution

The fourth proportional to 446.12, 668.94 and 153.52 is: 230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.12 : 668.94 = 153.52 : x
  2. Step 2: Convert to fraction form
    446.12/668.94 = 153.52/x
  3. Step 3: Cross multiply
    446.12x = 668.94 × 153.52
  4. Step 4: Simplify right side
    446.12x = 102,695.67
  5. Step 5: Solve for x
    x = 102,695.67/446.12
  6. Step 6: Final answer
    x = 230.20

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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.