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Finding the Fourth Proportional to 442.23, 663.35 and 153.65

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Solution

The fourth proportional to 442.23, 663.35 and 153.65 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.23 : 663.35 = 153.65 : x
  2. Step 2: Convert to fraction form
    442.23/663.35 = 153.65/x
  3. Step 3: Cross multiply
    442.23x = 663.35 × 153.65
  4. Step 4: Simplify right side
    442.23x = 101,919.64
  5. Step 5: Solve for x
    x = 101,919.64/442.23
  6. Step 6: Final answer
    x = 230.47

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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.