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Finding the Fourth Proportional to 283.23, 424.49 and 120.83

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Solution

The fourth proportional to 283.23, 424.49 and 120.83 is: 181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.23 : 424.49 = 120.83 : x
  2. Step 2: Convert to fraction form
    283.23/424.49 = 120.83/x
  3. Step 3: Cross multiply
    283.23x = 424.49 × 120.83
  4. Step 4: Simplify right side
    283.23x = 51,288.40
  5. Step 5: Solve for x
    x = 51,288.40/283.23
  6. Step 6: Final answer
    x = 181.08

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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.