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Finding the Fourth Proportional to 284.58, 392.77 and 185.12

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Solution

The fourth proportional to 284.58, 392.77 and 185.12 is: 255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 392.77 = 185.12 : x
  2. Step 2: Convert to fraction form
    284.58/392.77 = 185.12/x
  3. Step 3: Cross multiply
    284.58x = 392.77 × 185.12
  4. Step 4: Simplify right side
    284.58x = 72,707.62
  5. Step 5: Solve for x
    x = 72,707.62/284.58
  6. Step 6: Final answer
    x = 255.50

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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.