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Finding the Fourth Proportional to 552.49, 828.89 and 162.50

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Solution

The fourth proportional to 552.49, 828.89 and 162.50 is: 243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.49 : 828.89 = 162.50 : x
  2. Step 2: Convert to fraction form
    552.49/828.89 = 162.50/x
  3. Step 3: Cross multiply
    552.49x = 828.89 × 162.50
  4. Step 4: Simplify right side
    552.49x = 134,694.63
  5. Step 5: Solve for x
    x = 134,694.63/552.49
  6. Step 6: Final answer
    x = 243.80

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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.