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Finding the Fourth Proportional to 284.33, 392.38 and 160

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Solution

The fourth proportional to 284.33, 392.38 and 160 is: 220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.33 : 392.38 = 160 : x
  2. Step 2: Convert to fraction form
    284.33/392.38 = 160/x
  3. Step 3: Cross multiply
    284.33x = 392.38 × 160
  4. Step 4: Simplify right side
    284.33x = 62,780.80
  5. Step 5: Solve for x
    x = 62,780.80/284.33
  6. Step 6: Final answer
    x = 220.80

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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.