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Finding the Fourth Proportional to 442.25, 663.49 and 153.69

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Solution

The fourth proportional to 442.25, 663.49 and 153.69 is: 230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 663.49 = 153.69 : x
  2. Step 2: Convert to fraction form
    442.25/663.49 = 153.69/x
  3. Step 3: Cross multiply
    442.25x = 663.49 × 153.69
  4. Step 4: Simplify right side
    442.25x = 101,971.78
  5. Step 5: Solve for x
    x = 101,971.78/442.25
  6. Step 6: Final answer
    x = 230.57

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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.