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Finding the Fourth Proportional to 284, 425.64 and 121.64

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Solution

The fourth proportional to 284, 425.64 and 121.64 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 425.64 = 121.64 : x
  2. Step 2: Convert to fraction form
    284/425.64 = 121.64/x
  3. Step 3: Cross multiply
    284x = 425.64 × 121.64
  4. Step 4: Simplify right side
    284x = 51,774.85
  5. Step 5: Solve for x
    x = 51,774.85/284
  6. Step 6: Final answer
    x = 182.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.