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Finding the Fourth Proportional to 231.69, 348.02 and 145.13

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Solution

The fourth proportional to 231.69, 348.02 and 145.13 is: 218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.69 : 348.02 = 145.13 : x
  2. Step 2: Convert to fraction form
    231.69/348.02 = 145.13/x
  3. Step 3: Cross multiply
    231.69x = 348.02 × 145.13
  4. Step 4: Simplify right side
    231.69x = 50,508.14
  5. Step 5: Solve for x
    x = 50,508.14/231.69
  6. Step 6: Final answer
    x = 218.00

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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.