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Finding the Fourth Proportional to 223.02, 334.53 and 199.53

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Solution

The fourth proportional to 223.02, 334.53 and 199.53 is: 299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.02 : 334.53 = 199.53 : x
  2. Step 2: Convert to fraction form
    223.02/334.53 = 199.53/x
  3. Step 3: Cross multiply
    223.02x = 334.53 × 199.53
  4. Step 4: Simplify right side
    223.02x = 66,748.77
  5. Step 5: Solve for x
    x = 66,748.77/223.02
  6. Step 6: Final answer
    x = 299.30

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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.