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Finding the Fourth Proportional to 216.28, 300.54 and 214.06

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Solution

The fourth proportional to 216.28, 300.54 and 214.06 is: 297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.28 : 300.54 = 214.06 : x
  2. Step 2: Convert to fraction form
    216.28/300.54 = 214.06/x
  3. Step 3: Cross multiply
    216.28x = 300.54 × 214.06
  4. Step 4: Simplify right side
    216.28x = 64,333.59
  5. Step 5: Solve for x
    x = 64,333.59/216.28
  6. Step 6: Final answer
    x = 297.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.