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Finding the Fourth Proportional to 284.02, 391.99 and 186.06

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Solution

The fourth proportional to 284.02, 391.99 and 186.06 is: 256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.02 : 391.99 = 186.06 : x
  2. Step 2: Convert to fraction form
    284.02/391.99 = 186.06/x
  3. Step 3: Cross multiply
    284.02x = 391.99 × 186.06
  4. Step 4: Simplify right side
    284.02x = 72,935.01
  5. Step 5: Solve for x
    x = 72,935.01/284.02
  6. Step 6: Final answer
    x = 256.79

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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.