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Finding the Fourth Proportional to 264.92, 397.41 and 128.03

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Solution

The fourth proportional to 264.92, 397.41 and 128.03 is: 192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.92 : 397.41 = 128.03 : x
  2. Step 2: Convert to fraction form
    264.92/397.41 = 128.03/x
  3. Step 3: Cross multiply
    264.92x = 397.41 × 128.03
  4. Step 4: Simplify right side
    264.92x = 50,880.17
  5. Step 5: Solve for x
    x = 50,880.17/264.92
  6. Step 6: Final answer
    x = 192.06

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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.