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Finding the Fourth Proportional to 264.02, 364.21 and 205.40

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Solution

The fourth proportional to 264.02, 364.21 and 205.40 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.02 : 364.21 = 205.40 : x
  2. Step 2: Convert to fraction form
    264.02/364.21 = 205.40/x
  3. Step 3: Cross multiply
    264.02x = 364.21 × 205.40
  4. Step 4: Simplify right side
    264.02x = 74,806.91
  5. Step 5: Solve for x
    x = 74,806.91/264.02
  6. Step 6: Final answer
    x = 283.34

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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.