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Finding the Fourth Proportional to 264.59, 396.62 and 102.23

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Solution

The fourth proportional to 264.59, 396.62 and 102.23 is: 153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.59 : 396.62 = 102.23 : x
  2. Step 2: Convert to fraction form
    264.59/396.62 = 102.23/x
  3. Step 3: Cross multiply
    264.59x = 396.62 × 102.23
  4. Step 4: Simplify right side
    264.59x = 40,546.46
  5. Step 5: Solve for x
    x = 40,546.46/264.59
  6. Step 6: Final answer
    x = 153.25

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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.