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Finding the Fourth Proportional to 184.50, 254.02 and 159.80

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Solution

The fourth proportional to 184.50, 254.02 and 159.80 is: 220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.50 : 254.02 = 159.80 : x
  2. Step 2: Convert to fraction form
    184.50/254.02 = 159.80/x
  3. Step 3: Cross multiply
    184.50x = 254.02 × 159.80
  4. Step 4: Simplify right side
    184.50x = 40,592.40
  5. Step 5: Solve for x
    x = 40,592.40/184.50
  6. Step 6: Final answer
    x = 220.01

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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.