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Finding the Fourth Proportional to 442.41, 663.62 and 153.84

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Solution

The fourth proportional to 442.41, 663.62 and 153.84 is: 230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.41 : 663.62 = 153.84 : x
  2. Step 2: Convert to fraction form
    442.41/663.62 = 153.84/x
  3. Step 3: Cross multiply
    442.41x = 663.62 × 153.84
  4. Step 4: Simplify right side
    442.41x = 102,093.02
  5. Step 5: Solve for x
    x = 102,093.02/442.41
  6. Step 6: Final answer
    x = 230.77

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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.