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Finding the Fourth Proportional to 180.04, 269.60 and 145.41

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Solution

The fourth proportional to 180.04, 269.60 and 145.41 is: 217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 269.60 = 145.41 : x
  2. Step 2: Convert to fraction form
    180.04/269.60 = 145.41/x
  3. Step 3: Cross multiply
    180.04x = 269.60 × 145.41
  4. Step 4: Simplify right side
    180.04x = 39,201.81
  5. Step 5: Solve for x
    x = 39,201.81/180.04
  6. Step 6: Final answer
    x = 217.74

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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.