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Finding the Fourth Proportional to 373.32, 559.81 and 199.96

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Solution

The fourth proportional to 373.32, 559.81 and 199.96 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.32 : 559.81 = 199.96 : x
  2. Step 2: Convert to fraction form
    373.32/559.81 = 199.96/x
  3. Step 3: Cross multiply
    373.32x = 559.81 × 199.96
  4. Step 4: Simplify right side
    373.32x = 111,935.81
  5. Step 5: Solve for x
    x = 111,935.81/373.32
  6. Step 6: Final answer
    x = 299.84

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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.