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Finding the Fourth Proportional to 216.58, 298.92 and 150.30

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Solution

The fourth proportional to 216.58, 298.92 and 150.30 is: 207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.58 : 298.92 = 150.30 : x
  2. Step 2: Convert to fraction form
    216.58/298.92 = 150.30/x
  3. Step 3: Cross multiply
    216.58x = 298.92 × 150.30
  4. Step 4: Simplify right side
    216.58x = 44,927.68
  5. Step 5: Solve for x
    x = 44,927.68/216.58
  6. Step 6: Final answer
    x = 207.44

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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.