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Finding the Fourth Proportional to 218.28, 325.35 and 205.98

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Solution

The fourth proportional to 218.28, 325.35 and 205.98 is: 307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.28 : 325.35 = 205.98 : x
  2. Step 2: Convert to fraction form
    218.28/325.35 = 205.98/x
  3. Step 3: Cross multiply
    218.28x = 325.35 × 205.98
  4. Step 4: Simplify right side
    218.28x = 67,014.37
  5. Step 5: Solve for x
    x = 67,014.37/218.28
  6. Step 6: Final answer
    x = 307.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.