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Finding the Fourth Proportional to 284.39, 392.69 and 184.86

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Solution

The fourth proportional to 284.39, 392.69 and 184.86 is: 255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.39 : 392.69 = 184.86 : x
  2. Step 2: Convert to fraction form
    284.39/392.69 = 184.86/x
  3. Step 3: Cross multiply
    284.39x = 392.69 × 184.86
  4. Step 4: Simplify right side
    284.39x = 72,590.73
  5. Step 5: Solve for x
    x = 72,590.73/284.39
  6. Step 6: Final answer
    x = 255.25

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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.