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Finding the Fourth Proportional to 445.04, 667.54 and 156.46

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Solution

The fourth proportional to 445.04, 667.54 and 156.46 is: 234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.04 : 667.54 = 156.46 : x
  2. Step 2: Convert to fraction form
    445.04/667.54 = 156.46/x
  3. Step 3: Cross multiply
    445.04x = 667.54 × 156.46
  4. Step 4: Simplify right side
    445.04x = 104,443.31
  5. Step 5: Solve for x
    x = 104,443.31/445.04
  6. Step 6: Final answer
    x = 234.68

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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.