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Finding the Fourth Proportional to 283.22, 390.88 and 178.40

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Solution

The fourth proportional to 283.22, 390.88 and 178.40 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.22 : 390.88 = 178.40 : x
  2. Step 2: Convert to fraction form
    283.22/390.88 = 178.40/x
  3. Step 3: Cross multiply
    283.22x = 390.88 × 178.40
  4. Step 4: Simplify right side
    283.22x = 69,732.99
  5. Step 5: Solve for x
    x = 69,732.99/283.22
  6. Step 6: Final answer
    x = 246.21

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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.