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Finding the Fourth Proportional to 353.40, 530.24 and 199.50

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Solution

The fourth proportional to 353.40, 530.24 and 199.50 is: 299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.40 : 530.24 = 199.50 : x
  2. Step 2: Convert to fraction form
    353.40/530.24 = 199.50/x
  3. Step 3: Cross multiply
    353.40x = 530.24 × 199.50
  4. Step 4: Simplify right side
    353.40x = 105,781.88
  5. Step 5: Solve for x
    x = 105,781.88/353.40
  6. Step 6: Final answer
    x = 299.33

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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.