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Finding the Fourth Proportional to 464.10, 696.14 and 122.10

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Solution

The fourth proportional to 464.10, 696.14 and 122.10 is: 183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.10 : 696.14 = 122.10 : x
  2. Step 2: Convert to fraction form
    464.10/696.14 = 122.10/x
  3. Step 3: Cross multiply
    464.10x = 696.14 × 122.10
  4. Step 4: Simplify right side
    464.10x = 84,998.69
  5. Step 5: Solve for x
    x = 84,998.69/464.10
  6. Step 6: Final answer
    x = 183.15

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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.