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Finding the Fourth Proportional to 270.98, 406.38 and 88.33

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Solution

The fourth proportional to 270.98, 406.38 and 88.33 is: 132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.98 : 406.38 = 88.33 : x
  2. Step 2: Convert to fraction form
    270.98/406.38 = 88.33/x
  3. Step 3: Cross multiply
    270.98x = 406.38 × 88.33
  4. Step 4: Simplify right side
    270.98x = 35,895.55
  5. Step 5: Solve for x
    x = 35,895.55/270.98
  6. Step 6: Final answer
    x = 132.47

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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.