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Finding the Fourth Proportional to 283.14, 424.62 and 120.78

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Solution

The fourth proportional to 283.14, 424.62 and 120.78 is: 181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.14 : 424.62 = 120.78 : x
  2. Step 2: Convert to fraction form
    283.14/424.62 = 120.78/x
  3. Step 3: Cross multiply
    283.14x = 424.62 × 120.78
  4. Step 4: Simplify right side
    283.14x = 51,285.60
  5. Step 5: Solve for x
    x = 51,285.60/283.14
  6. Step 6: Final answer
    x = 181.13

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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.