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Finding the Fourth Proportional to 173.81, 239.65 and 144.34

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Solution

The fourth proportional to 173.81, 239.65 and 144.34 is: 199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.81 : 239.65 = 144.34 : x
  2. Step 2: Convert to fraction form
    173.81/239.65 = 144.34/x
  3. Step 3: Cross multiply
    173.81x = 239.65 × 144.34
  4. Step 4: Simplify right side
    173.81x = 34,590.12
  5. Step 5: Solve for x
    x = 34,590.12/173.81
  6. Step 6: Final answer
    x = 199.01

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