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Finding the Fourth Proportional to 442.05, 662.81 and 153.51

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Solution

The fourth proportional to 442.05, 662.81 and 153.51 is: 230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.05 : 662.81 = 153.51 : x
  2. Step 2: Convert to fraction form
    442.05/662.81 = 153.51/x
  3. Step 3: Cross multiply
    442.05x = 662.81 × 153.51
  4. Step 4: Simplify right side
    442.05x = 101,747.20
  5. Step 5: Solve for x
    x = 101,747.20/442.05
  6. Step 6: Final answer
    x = 230.17

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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.