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Finding the Fourth Proportional to 284.23, 392.23 and 159.89

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Solution

The fourth proportional to 284.23, 392.23 and 159.89 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 392.23 = 159.89 : x
  2. Step 2: Convert to fraction form
    284.23/392.23 = 159.89/x
  3. Step 3: Cross multiply
    284.23x = 392.23 × 159.89
  4. Step 4: Simplify right side
    284.23x = 62,713.65
  5. Step 5: Solve for x
    x = 62,713.65/284.23
  6. Step 6: Final answer
    x = 220.64

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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.