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Finding the Fourth Proportional to 216.80, 298.84 and 177.40

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Solution

The fourth proportional to 216.80, 298.84 and 177.40 is: 244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.80 : 298.84 = 177.40 : x
  2. Step 2: Convert to fraction form
    216.80/298.84 = 177.40/x
  3. Step 3: Cross multiply
    216.80x = 298.84 × 177.40
  4. Step 4: Simplify right side
    216.80x = 53,014.22
  5. Step 5: Solve for x
    x = 53,014.22/216.80
  6. Step 6: Final answer
    x = 244.53

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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.