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Finding the Fourth Proportional to 445.66, 668.57 and 202.14

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Solution

The fourth proportional to 445.66, 668.57 and 202.14 is: 303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.66 : 668.57 = 202.14 : x
  2. Step 2: Convert to fraction form
    445.66/668.57 = 202.14/x
  3. Step 3: Cross multiply
    445.66x = 668.57 × 202.14
  4. Step 4: Simplify right side
    445.66x = 135,144.74
  5. Step 5: Solve for x
    x = 135,144.74/445.66
  6. Step 6: Final answer
    x = 303.25

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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.