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Finding the Fourth Proportional to 199.50, 299.23 and 62.53

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Solution

The fourth proportional to 199.50, 299.23 and 62.53 is: 93.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 299.23 = 62.53 : x
  2. Step 2: Convert to fraction form
    199.50/299.23 = 62.53/x
  3. Step 3: Cross multiply
    199.50x = 299.23 × 62.53
  4. Step 4: Simplify right side
    199.50x = 18,710.85
  5. Step 5: Solve for x
    x = 18,710.85/199.50
  6. Step 6: Final answer
    x = 93.79

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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.