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Finding the Fourth Proportional to 175.37, 243.13 and 165.65

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Solution

The fourth proportional to 175.37, 243.13 and 165.65 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 243.13 = 165.65 : x
  2. Step 2: Convert to fraction form
    175.37/243.13 = 165.65/x
  3. Step 3: Cross multiply
    175.37x = 243.13 × 165.65
  4. Step 4: Simplify right side
    175.37x = 40,274.48
  5. Step 5: Solve for x
    x = 40,274.48/175.37
  6. Step 6: Final answer
    x = 229.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.