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Finding the Fourth Proportional to 263.95, 364.33 and 153.48

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Solution

The fourth proportional to 263.95, 364.33 and 153.48 is: 211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.95 : 364.33 = 153.48 : x
  2. Step 2: Convert to fraction form
    263.95/364.33 = 153.48/x
  3. Step 3: Cross multiply
    263.95x = 364.33 × 153.48
  4. Step 4: Simplify right side
    263.95x = 55,917.37
  5. Step 5: Solve for x
    x = 55,917.37/263.95
  6. Step 6: Final answer
    x = 211.85

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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.