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Finding the Fourth Proportional to 231.96, 348.04 and 102.07

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Solution

The fourth proportional to 231.96, 348.04 and 102.07 is: 153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.96 : 348.04 = 102.07 : x
  2. Step 2: Convert to fraction form
    231.96/348.04 = 102.07/x
  3. Step 3: Cross multiply
    231.96x = 348.04 × 102.07
  4. Step 4: Simplify right side
    231.96x = 35,525.01
  5. Step 5: Solve for x
    x = 35,525.01/231.96
  6. Step 6: Final answer
    x = 153.15

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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.