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Finding the Fourth Proportional to 216.58, 298.70 and 133.68

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Solution

The fourth proportional to 216.58, 298.70 and 133.68 is: 184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.58 : 298.70 = 133.68 : x
  2. Step 2: Convert to fraction form
    216.58/298.70 = 133.68/x
  3. Step 3: Cross multiply
    216.58x = 298.70 × 133.68
  4. Step 4: Simplify right side
    216.58x = 39,930.22
  5. Step 5: Solve for x
    x = 39,930.22/216.58
  6. Step 6: Final answer
    x = 184.37

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Why These Related Problems?

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