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Finding the Fourth Proportional to 284.16, 391.92 and 184.56

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Solution

The fourth proportional to 284.16, 391.92 and 184.56 is: 254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 391.92 = 184.56 : x
  2. Step 2: Convert to fraction form
    284.16/391.92 = 184.56/x
  3. Step 3: Cross multiply
    284.16x = 391.92 × 184.56
  4. Step 4: Simplify right side
    284.16x = 72,332.76
  5. Step 5: Solve for x
    x = 72,332.76/284.16
  6. Step 6: Final answer
    x = 254.55

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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.