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Finding the Fourth Proportional to 212.88, 293.95 and 135.39

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Solution

The fourth proportional to 212.88, 293.95 and 135.39 is: 186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 293.95 = 135.39 : x
  2. Step 2: Convert to fraction form
    212.88/293.95 = 135.39/x
  3. Step 3: Cross multiply
    212.88x = 293.95 × 135.39
  4. Step 4: Simplify right side
    212.88x = 39,797.89
  5. Step 5: Solve for x
    x = 39,797.89/212.88
  6. Step 6: Final answer
    x = 186.95

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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.