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Finding the Fourth Proportional to 353.67, 530.42 and 199.67

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Solution

The fourth proportional to 353.67, 530.42 and 199.67 is: 299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.67 : 530.42 = 199.67 : x
  2. Step 2: Convert to fraction form
    353.67/530.42 = 199.67/x
  3. Step 3: Cross multiply
    353.67x = 530.42 × 199.67
  4. Step 4: Simplify right side
    353.67x = 105,905.31
  5. Step 5: Solve for x
    x = 105,905.31/353.67
  6. Step 6: Final answer
    x = 299.45

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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.