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Finding the Fourth Proportional to 265.44, 366.33 and 154.89

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Solution

The fourth proportional to 265.44, 366.33 and 154.89 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 366.33 = 154.89 : x
  2. Step 2: Convert to fraction form
    265.44/366.33 = 154.89/x
  3. Step 3: Cross multiply
    265.44x = 366.33 × 154.89
  4. Step 4: Simplify right side
    265.44x = 56,740.85
  5. Step 5: Solve for x
    x = 56,740.85/265.44
  6. Step 6: Final answer
    x = 213.76

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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.