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Finding the Fourth Proportional to 300.48, 451.44 and 172.32

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Solution

The fourth proportional to 300.48, 451.44 and 172.32 is: 258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.48 : 451.44 = 172.32 : x
  2. Step 2: Convert to fraction form
    300.48/451.44 = 172.32/x
  3. Step 3: Cross multiply
    300.48x = 451.44 × 172.32
  4. Step 4: Simplify right side
    300.48x = 77,792.14
  5. Step 5: Solve for x
    x = 77,792.14/300.48
  6. Step 6: Final answer
    x = 258.89

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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.