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Finding the Fourth Proportional to 212.88, 293.78 and 135.24

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Solution

The fourth proportional to 212.88, 293.78 and 135.24 is: 186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 293.78 = 135.24 : x
  2. Step 2: Convert to fraction form
    212.88/293.78 = 135.24/x
  3. Step 3: Cross multiply
    212.88x = 293.78 × 135.24
  4. Step 4: Simplify right side
    212.88x = 39,730.81
  5. Step 5: Solve for x
    x = 39,730.81/212.88
  6. Step 6: Final answer
    x = 186.63

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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.