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Finding the Fourth Proportional to 464.46, 696.70 and 122.46

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Solution

The fourth proportional to 464.46, 696.70 and 122.46 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.46 : 696.70 = 122.46 : x
  2. Step 2: Convert to fraction form
    464.46/696.70 = 122.46/x
  3. Step 3: Cross multiply
    464.46x = 696.70 × 122.46
  4. Step 4: Simplify right side
    464.46x = 85,317.88
  5. Step 5: Solve for x
    x = 85,317.88/464.46
  6. Step 6: Final answer
    x = 183.69

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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.