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Finding the Fourth Proportional to 446.69, 669.95 and 122.02

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Solution

The fourth proportional to 446.69, 669.95 and 122.02 is: 183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.69 : 669.95 = 122.02 : x
  2. Step 2: Convert to fraction form
    446.69/669.95 = 122.02/x
  3. Step 3: Cross multiply
    446.69x = 669.95 × 122.02
  4. Step 4: Simplify right side
    446.69x = 81,747.30
  5. Step 5: Solve for x
    x = 81,747.30/446.69
  6. Step 6: Final answer
    x = 183.01

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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.