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Finding the Fourth Proportional to 179.90, 270.12 and 144

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Solution

The fourth proportional to 179.90, 270.12 and 144 is: 216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.90 : 270.12 = 144 : x
  2. Step 2: Convert to fraction form
    179.90/270.12 = 144/x
  3. Step 3: Cross multiply
    179.90x = 270.12 × 144
  4. Step 4: Simplify right side
    179.90x = 38,897.28
  5. Step 5: Solve for x
    x = 38,897.28/179.90
  6. Step 6: Final answer
    x = 216.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.