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Finding the Fourth Proportional to 283.84, 391.36 and 184.32

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Solution

The fourth proportional to 283.84, 391.36 and 184.32 is: 254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.84 : 391.36 = 184.32 : x
  2. Step 2: Convert to fraction form
    283.84/391.36 = 184.32/x
  3. Step 3: Cross multiply
    283.84x = 391.36 × 184.32
  4. Step 4: Simplify right side
    283.84x = 72,135.48
  5. Step 5: Solve for x
    x = 72,135.48/283.84
  6. Step 6: Final answer
    x = 254.14

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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.