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Finding the Fourth Proportional to 213.68, 295.04 and 135.02

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Solution

The fourth proportional to 213.68, 295.04 and 135.02 is: 186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.68 : 295.04 = 135.02 : x
  2. Step 2: Convert to fraction form
    213.68/295.04 = 135.02/x
  3. Step 3: Cross multiply
    213.68x = 295.04 × 135.02
  4. Step 4: Simplify right side
    213.68x = 39,836.30
  5. Step 5: Solve for x
    x = 39,836.30/213.68
  6. Step 6: Final answer
    x = 186.43

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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.