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Finding the Fourth Proportional to 180.30, 270.44 and 56.90

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Solution

The fourth proportional to 180.30, 270.44 and 56.90 is: 85.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.30 : 270.44 = 56.90 : x
  2. Step 2: Convert to fraction form
    180.30/270.44 = 56.90/x
  3. Step 3: Cross multiply
    180.30x = 270.44 × 56.90
  4. Step 4: Simplify right side
    180.30x = 15,387.63
  5. Step 5: Solve for x
    x = 15,387.63/180.30
  6. Step 6: Final answer
    x = 85.34

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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.