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Finding the Fourth Proportional to 250.02, 345.42 and 184.41

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Solution

The fourth proportional to 250.02, 345.42 and 184.41 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.02 : 345.42 = 184.41 : x
  2. Step 2: Convert to fraction form
    250.02/345.42 = 184.41/x
  3. Step 3: Cross multiply
    250.02x = 345.42 × 184.41
  4. Step 4: Simplify right side
    250.02x = 63,698.90
  5. Step 5: Solve for x
    x = 63,698.90/250.02
  6. Step 6: Final answer
    x = 254.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.