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Finding the Fourth Proportional to 216.06, 322.29 and 191.76

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Solution

The fourth proportional to 216.06, 322.29 and 191.76 is: 286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.06 : 322.29 = 191.76 : x
  2. Step 2: Convert to fraction form
    216.06/322.29 = 191.76/x
  3. Step 3: Cross multiply
    216.06x = 322.29 × 191.76
  4. Step 4: Simplify right side
    216.06x = 61,802.33
  5. Step 5: Solve for x
    x = 61,802.33/216.06
  6. Step 6: Final answer
    x = 286.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.