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Finding the Fourth Proportional to 169.04, 233.34 and 130.34

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Solution

The fourth proportional to 169.04, 233.34 and 130.34 is: 179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.04 : 233.34 = 130.34 : x
  2. Step 2: Convert to fraction form
    169.04/233.34 = 130.34/x
  3. Step 3: Cross multiply
    169.04x = 233.34 × 130.34
  4. Step 4: Simplify right side
    169.04x = 30,413.54
  5. Step 5: Solve for x
    x = 30,413.54/169.04
  6. Step 6: Final answer
    x = 179.92

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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.