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Finding the Fourth Proportional to 231.03, 346.64 and 115.65

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Solution

The fourth proportional to 231.03, 346.64 and 115.65 is: 173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.03 : 346.64 = 115.65 : x
  2. Step 2: Convert to fraction form
    231.03/346.64 = 115.65/x
  3. Step 3: Cross multiply
    231.03x = 346.64 × 115.65
  4. Step 4: Simplify right side
    231.03x = 40,088.34
  5. Step 5: Solve for x
    x = 40,088.34/231.03
  6. Step 6: Final answer
    x = 173.52

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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.