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Finding the Fourth Proportional to 552.67, 829.13 and 162.66

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Solution

The fourth proportional to 552.67, 829.13 and 162.66 is: 244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.67 : 829.13 = 162.66 : x
  2. Step 2: Convert to fraction form
    552.67/829.13 = 162.66/x
  3. Step 3: Cross multiply
    552.67x = 829.13 × 162.66
  4. Step 4: Simplify right side
    552.67x = 134,868.58
  5. Step 5: Solve for x
    x = 134,868.58/552.67
  6. Step 6: Final answer
    x = 244.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.