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Finding the Fourth Proportional to 264.23, 396.10 and 102.03

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Solution

The fourth proportional to 264.23, 396.10 and 102.03 is: 152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.23 : 396.10 = 102.03 : x
  2. Step 2: Convert to fraction form
    264.23/396.10 = 102.03/x
  3. Step 3: Cross multiply
    264.23x = 396.10 × 102.03
  4. Step 4: Simplify right side
    264.23x = 40,413.83
  5. Step 5: Solve for x
    x = 40,413.83/264.23
  6. Step 6: Final answer
    x = 152.95

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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.