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Finding the Fourth Proportional to 300.52, 450.80 and 172.36

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Solution

The fourth proportional to 300.52, 450.80 and 172.36 is: 258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.52 : 450.80 = 172.36 : x
  2. Step 2: Convert to fraction form
    300.52/450.80 = 172.36/x
  3. Step 3: Cross multiply
    300.52x = 450.80 × 172.36
  4. Step 4: Simplify right side
    300.52x = 77,699.89
  5. Step 5: Solve for x
    x = 77,699.89/300.52
  6. Step 6: Final answer
    x = 258.55

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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.