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Finding the Fourth Proportional to 250.04, 374.99 and 149.80

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Solution

The fourth proportional to 250.04, 374.99 and 149.80 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.04 : 374.99 = 149.80 : x
  2. Step 2: Convert to fraction form
    250.04/374.99 = 149.80/x
  3. Step 3: Cross multiply
    250.04x = 374.99 × 149.80
  4. Step 4: Simplify right side
    250.04x = 56,171.63
  5. Step 5: Solve for x
    x = 56,171.63/250.04
  6. Step 6: Final answer
    x = 224.65

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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.