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Finding the Fourth Proportional to 180.02, 270 and 169.09

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Solution

The fourth proportional to 180.02, 270 and 169.09 is: 253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 270 = 169.09 : x
  2. Step 2: Convert to fraction form
    180.02/270 = 169.09/x
  3. Step 3: Cross multiply
    180.02x = 270 × 169.09
  4. Step 4: Simplify right side
    180.02x = 45,653.63
  5. Step 5: Solve for x
    x = 45,653.63/180.02
  6. Step 6: Final answer
    x = 253.60

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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.