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Finding the Fourth Proportional to 144.60, 199.53 and 119.94

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Solution

The fourth proportional to 144.60, 199.53 and 119.94 is: 165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.60 : 199.53 = 119.94 : x
  2. Step 2: Convert to fraction form
    144.60/199.53 = 119.94/x
  3. Step 3: Cross multiply
    144.60x = 199.53 × 119.94
  4. Step 4: Simplify right side
    144.60x = 23,931.63
  5. Step 5: Solve for x
    x = 23,931.63/144.60
  6. Step 6: Final answer
    x = 165.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.