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Finding the Fourth Proportional to 231.48, 348.69 and 189.24

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Solution

The fourth proportional to 231.48, 348.69 and 189.24 is: 285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.48 : 348.69 = 189.24 : x
  2. Step 2: Convert to fraction form
    231.48/348.69 = 189.24/x
  3. Step 3: Cross multiply
    231.48x = 348.69 × 189.24
  4. Step 4: Simplify right side
    231.48x = 65,986.10
  5. Step 5: Solve for x
    x = 65,986.10/231.48
  6. Step 6: Final answer
    x = 285.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.