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Finding the Fourth Proportional to 284.68, 392.84 and 160.34

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Solution

The fourth proportional to 284.68, 392.84 and 160.34 is: 221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.68 : 392.84 = 160.34 : x
  2. Step 2: Convert to fraction form
    284.68/392.84 = 160.34/x
  3. Step 3: Cross multiply
    284.68x = 392.84 × 160.34
  4. Step 4: Simplify right side
    284.68x = 62,987.97
  5. Step 5: Solve for x
    x = 62,987.97/284.68
  6. Step 6: Final answer
    x = 221.26

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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.