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Finding the Fourth Proportional to 354.10, 530.82 and 199.96

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Solution

The fourth proportional to 354.10, 530.82 and 199.96 is: 299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.10 : 530.82 = 199.96 : x
  2. Step 2: Convert to fraction form
    354.10/530.82 = 199.96/x
  3. Step 3: Cross multiply
    354.10x = 530.82 × 199.96
  4. Step 4: Simplify right side
    354.10x = 106,142.77
  5. Step 5: Solve for x
    x = 106,142.77/354.10
  6. Step 6: Final answer
    x = 299.75

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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.