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Finding the Fourth Proportional to 284.38, 392.30 and 186.14

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Solution

The fourth proportional to 284.38, 392.30 and 186.14 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.38 : 392.30 = 186.14 : x
  2. Step 2: Convert to fraction form
    284.38/392.30 = 186.14/x
  3. Step 3: Cross multiply
    284.38x = 392.30 × 186.14
  4. Step 4: Simplify right side
    284.38x = 73,022.72
  5. Step 5: Solve for x
    x = 73,022.72/284.38
  6. Step 6: Final answer
    x = 256.78

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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.