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Finding the Fourth Proportional to 231.02, 345.78 and 219.14

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Solution

The fourth proportional to 231.02, 345.78 and 219.14 is: 328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.02 : 345.78 = 219.14 : x
  2. Step 2: Convert to fraction form
    231.02/345.78 = 219.14/x
  3. Step 3: Cross multiply
    231.02x = 345.78 × 219.14
  4. Step 4: Simplify right side
    231.02x = 75,774.23
  5. Step 5: Solve for x
    x = 75,774.23/231.02
  6. Step 6: Final answer
    x = 328.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.