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Finding the Fourth Proportional to 250.02, 344.95 and 184.54

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Solution

The fourth proportional to 250.02, 344.95 and 184.54 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.02 : 344.95 = 184.54 : x
  2. Step 2: Convert to fraction form
    250.02/344.95 = 184.54/x
  3. Step 3: Cross multiply
    250.02x = 344.95 × 184.54
  4. Step 4: Simplify right side
    250.02x = 63,657.07
  5. Step 5: Solve for x
    x = 63,657.07/250.02
  6. Step 6: Final answer
    x = 254.61

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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.