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Finding the Fourth Proportional to 265.91, 398.57 and 128.66

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Solution

The fourth proportional to 265.91, 398.57 and 128.66 is: 192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 398.57 = 128.66 : x
  2. Step 2: Convert to fraction form
    265.91/398.57 = 128.66/x
  3. Step 3: Cross multiply
    265.91x = 398.57 × 128.66
  4. Step 4: Simplify right side
    265.91x = 51,281.09
  5. Step 5: Solve for x
    x = 51,281.09/265.91
  6. Step 6: Final answer
    x = 192.85

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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.