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Finding the Fourth Proportional to 264, 364.30 and 153.48

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Solution

The fourth proportional to 264, 364.30 and 153.48 is: 211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264 : 364.30 = 153.48 : x
  2. Step 2: Convert to fraction form
    264/364.30 = 153.48/x
  3. Step 3: Cross multiply
    264x = 364.30 × 153.48
  4. Step 4: Simplify right side
    264x = 55,912.76
  5. Step 5: Solve for x
    x = 55,912.76/264
  6. Step 6: Final answer
    x = 211.79

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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.