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Finding the Fourth Proportional to 283.18, 390.78 and 178.24

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Solution

The fourth proportional to 283.18, 390.78 and 178.24 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.18 : 390.78 = 178.24 : x
  2. Step 2: Convert to fraction form
    283.18/390.78 = 178.24/x
  3. Step 3: Cross multiply
    283.18x = 390.78 × 178.24
  4. Step 4: Simplify right side
    283.18x = 69,652.63
  5. Step 5: Solve for x
    x = 69,652.63/283.18
  6. Step 6: Final answer
    x = 245.97

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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.