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Finding the Fourth Proportional to 212.66, 293.34 and 135.08

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Solution

The fourth proportional to 212.66, 293.34 and 135.08 is: 186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.66 : 293.34 = 135.08 : x
  2. Step 2: Convert to fraction form
    212.66/293.34 = 135.08/x
  3. Step 3: Cross multiply
    212.66x = 293.34 × 135.08
  4. Step 4: Simplify right side
    212.66x = 39,624.37
  5. Step 5: Solve for x
    x = 39,624.37/212.66
  6. Step 6: Final answer
    x = 186.33

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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.