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Finding the Fourth Proportional to 284.09, 392.29 and 214.03

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Solution

The fourth proportional to 284.09, 392.29 and 214.03 is: 295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.09 : 392.29 = 214.03 : x
  2. Step 2: Convert to fraction form
    284.09/392.29 = 214.03/x
  3. Step 3: Cross multiply
    284.09x = 392.29 × 214.03
  4. Step 4: Simplify right side
    284.09x = 83,961.83
  5. Step 5: Solve for x
    x = 83,961.83/284.09
  6. Step 6: Final answer
    x = 295.55

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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.