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Finding the Fourth Proportional to 270.61, 405.91 and 216.84

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Solution

The fourth proportional to 270.61, 405.91 and 216.84 is: 325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.61 : 405.91 = 216.84 : x
  2. Step 2: Convert to fraction form
    270.61/405.91 = 216.84/x
  3. Step 3: Cross multiply
    270.61x = 405.91 × 216.84
  4. Step 4: Simplify right side
    270.61x = 88,017.52
  5. Step 5: Solve for x
    x = 88,017.52/270.61
  6. Step 6: Final answer
    x = 325.26

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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.