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Finding the Fourth Proportional to 446.64, 669.93 and 190.14

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Solution

The fourth proportional to 446.64, 669.93 and 190.14 is: 285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.64 : 669.93 = 190.14 : x
  2. Step 2: Convert to fraction form
    446.64/669.93 = 190.14/x
  3. Step 3: Cross multiply
    446.64x = 669.93 × 190.14
  4. Step 4: Simplify right side
    446.64x = 127,380.49
  5. Step 5: Solve for x
    x = 127,380.49/446.64
  6. Step 6: Final answer
    x = 285.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.