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Finding the Fourth Proportional to 180.10, 270.14 and 145.70

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Solution

The fourth proportional to 180.10, 270.14 and 145.70 is: 218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 270.14 = 145.70 : x
  2. Step 2: Convert to fraction form
    180.10/270.14 = 145.70/x
  3. Step 3: Cross multiply
    180.10x = 270.14 × 145.70
  4. Step 4: Simplify right side
    180.10x = 39,357.32
  5. Step 5: Solve for x
    x = 39,357.32/180.10
  6. Step 6: Final answer
    x = 218.53

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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.