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Finding the Fourth Proportional to 443.76, 665.64 and 119.16

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Solution

The fourth proportional to 443.76, 665.64 and 119.16 is: 178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.76 : 665.64 = 119.16 : x
  2. Step 2: Convert to fraction form
    443.76/665.64 = 119.16/x
  3. Step 3: Cross multiply
    443.76x = 665.64 × 119.16
  4. Step 4: Simplify right side
    443.76x = 79,317.66
  5. Step 5: Solve for x
    x = 79,317.66/443.76
  6. Step 6: Final answer
    x = 178.74

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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.