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Finding the Fourth Proportional to 216.55, 324.88 and 70.30

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Solution

The fourth proportional to 216.55, 324.88 and 70.30 is: 105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.55 : 324.88 = 70.30 : x
  2. Step 2: Convert to fraction form
    216.55/324.88 = 70.30/x
  3. Step 3: Cross multiply
    216.55x = 324.88 × 70.30
  4. Step 4: Simplify right side
    216.55x = 22,839.06
  5. Step 5: Solve for x
    x = 22,839.06/216.55
  6. Step 6: Final answer
    x = 105.47

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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.