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Finding the Fourth Proportional to 552.69, 829.17 and 162.68

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Solution

The fourth proportional to 552.69, 829.17 and 162.68 is: 244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.69 : 829.17 = 162.68 : x
  2. Step 2: Convert to fraction form
    552.69/829.17 = 162.68/x
  3. Step 3: Cross multiply
    552.69x = 829.17 × 162.68
  4. Step 4: Simplify right side
    552.69x = 134,885.23
  5. Step 5: Solve for x
    x = 134,885.23/552.69
  6. Step 6: Final answer
    x = 244.05

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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.