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Finding the Fourth Proportional to 445.10, 667.75 and 156.53

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Solution

The fourth proportional to 445.10, 667.75 and 156.53 is: 234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.10 : 667.75 = 156.53 : x
  2. Step 2: Convert to fraction form
    445.10/667.75 = 156.53/x
  3. Step 3: Cross multiply
    445.10x = 667.75 × 156.53
  4. Step 4: Simplify right side
    445.10x = 104,522.91
  5. Step 5: Solve for x
    x = 104,522.91/445.10
  6. Step 6: Final answer
    x = 234.83

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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.