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Finding the Fourth Proportional to 216.76, 299.51 and 170.50

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Solution

The fourth proportional to 216.76, 299.51 and 170.50 is: 235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.76 : 299.51 = 170.50 : x
  2. Step 2: Convert to fraction form
    216.76/299.51 = 170.50/x
  3. Step 3: Cross multiply
    216.76x = 299.51 × 170.50
  4. Step 4: Simplify right side
    216.76x = 51,067.63
  5. Step 5: Solve for x
    x = 51,067.63/216.76
  6. Step 6: Final answer
    x = 235.59

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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.