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Finding the Fourth Proportional to 216.98, 299.68 and 158.23

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Solution

The fourth proportional to 216.98, 299.68 and 158.23 is: 218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.98 : 299.68 = 158.23 : x
  2. Step 2: Convert to fraction form
    216.98/299.68 = 158.23/x
  3. Step 3: Cross multiply
    216.98x = 299.68 × 158.23
  4. Step 4: Simplify right side
    216.98x = 47,417.22
  5. Step 5: Solve for x
    x = 47,417.22/216.98
  6. Step 6: Final answer
    x = 218.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.