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Finding the Fourth Proportional to 264.02, 396.02 and 142.52

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Solution

The fourth proportional to 264.02, 396.02 and 142.52 is: 213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.02 : 396.02 = 142.52 : x
  2. Step 2: Convert to fraction form
    264.02/396.02 = 142.52/x
  3. Step 3: Cross multiply
    264.02x = 396.02 × 142.52
  4. Step 4: Simplify right side
    264.02x = 56,440.77
  5. Step 5: Solve for x
    x = 56,440.77/264.02
  6. Step 6: Final answer
    x = 213.77

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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.