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Finding the Fourth Proportional to 264.84, 398.52 and 218.90

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Solution

The fourth proportional to 264.84, 398.52 and 218.90 is: 329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.84 : 398.52 = 218.90 : x
  2. Step 2: Convert to fraction form
    264.84/398.52 = 218.90/x
  3. Step 3: Cross multiply
    264.84x = 398.52 × 218.90
  4. Step 4: Simplify right side
    264.84x = 87,237.02
  5. Step 5: Solve for x
    x = 87,237.02/264.84
  6. Step 6: Final answer
    x = 329.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.