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Finding the Fourth Proportional to 173.02, 238.52 and 133.70

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Solution

The fourth proportional to 173.02, 238.52 and 133.70 is: 184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.02 : 238.52 = 133.70 : x
  2. Step 2: Convert to fraction form
    173.02/238.52 = 133.70/x
  3. Step 3: Cross multiply
    173.02x = 238.52 × 133.70
  4. Step 4: Simplify right side
    173.02x = 31,890.12
  5. Step 5: Solve for x
    x = 31,890.12/173.02
  6. Step 6: Final answer
    x = 184.31

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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.