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Finding the Fourth Proportional to 264.30, 396.18 and 142.40

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Solution

The fourth proportional to 264.30, 396.18 and 142.40 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.30 : 396.18 = 142.40 : x
  2. Step 2: Convert to fraction form
    264.30/396.18 = 142.40/x
  3. Step 3: Cross multiply
    264.30x = 396.18 × 142.40
  4. Step 4: Simplify right side
    264.30x = 56,414.05
  5. Step 5: Solve for x
    x = 56,414.05/264.30
  6. Step 6: Final answer
    x = 213.45

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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.