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Finding the Fourth Proportional to 175.93, 263.07 and 129.83

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Solution

The fourth proportional to 175.93, 263.07 and 129.83 is: 194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.93 : 263.07 = 129.83 : x
  2. Step 2: Convert to fraction form
    175.93/263.07 = 129.83/x
  3. Step 3: Cross multiply
    175.93x = 263.07 × 129.83
  4. Step 4: Simplify right side
    175.93x = 34,153.06
  5. Step 5: Solve for x
    x = 34,153.06/175.93
  6. Step 6: Final answer
    x = 194.13

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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.