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Finding the Fourth Proportional to 264.06, 396.25 and 99.65

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Solution

The fourth proportional to 264.06, 396.25 and 99.65 is: 149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 396.25 = 99.65 : x
  2. Step 2: Convert to fraction form
    264.06/396.25 = 99.65/x
  3. Step 3: Cross multiply
    264.06x = 396.25 × 99.65
  4. Step 4: Simplify right side
    264.06x = 39,486.31
  5. Step 5: Solve for x
    x = 39,486.31/264.06
  6. Step 6: Final answer
    x = 149.54

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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.