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Finding the Fourth Proportional to 283.10, 390.62 and 184.78

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Solution

The fourth proportional to 283.10, 390.62 and 184.78 is: 254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 390.62 = 184.78 : x
  2. Step 2: Convert to fraction form
    283.10/390.62 = 184.78/x
  3. Step 3: Cross multiply
    283.10x = 390.62 × 184.78
  4. Step 4: Simplify right side
    283.10x = 72,179.71
  5. Step 5: Solve for x
    x = 72,179.71/283.10
  6. Step 6: Final answer
    x = 254.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.