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Finding the Fourth Proportional to 180.23, 269.83 and 145.90

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Solution

The fourth proportional to 180.23, 269.83 and 145.90 is: 218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 269.83 = 145.90 : x
  2. Step 2: Convert to fraction form
    180.23/269.83 = 145.90/x
  3. Step 3: Cross multiply
    180.23x = 269.83 × 145.90
  4. Step 4: Simplify right side
    180.23x = 39,368.72
  5. Step 5: Solve for x
    x = 39,368.72/180.23
  6. Step 6: Final answer
    x = 218.44

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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.