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Finding the Fourth Proportional to 180.36, 270 and 145.94

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Solution

The fourth proportional to 180.36, 270 and 145.94 is: 218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 270 = 145.94 : x
  2. Step 2: Convert to fraction form
    180.36/270 = 145.94/x
  3. Step 3: Cross multiply
    180.36x = 270 × 145.94
  4. Step 4: Simplify right side
    180.36x = 39,402.45
  5. Step 5: Solve for x
    x = 39,402.45/180.36
  6. Step 6: Final answer
    x = 218.47

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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.