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Finding the Fourth Proportional to 283.67, 425.34 and 121.31

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Solution

The fourth proportional to 283.67, 425.34 and 121.31 is: 181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.67 : 425.34 = 121.31 : x
  2. Step 2: Convert to fraction form
    283.67/425.34 = 121.31/x
  3. Step 3: Cross multiply
    283.67x = 425.34 × 121.31
  4. Step 4: Simplify right side
    283.67x = 51,598.00
  5. Step 5: Solve for x
    x = 51,598.00/283.67
  6. Step 6: Final answer
    x = 181.89

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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.