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Finding the Fourth Proportional to 212.64, 293.42 and 135

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Solution

The fourth proportional to 212.64, 293.42 and 135 is: 186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.64 : 293.42 = 135 : x
  2. Step 2: Convert to fraction form
    212.64/293.42 = 135/x
  3. Step 3: Cross multiply
    212.64x = 293.42 × 135
  4. Step 4: Simplify right side
    212.64x = 39,611.03
  5. Step 5: Solve for x
    x = 39,611.03/212.64
  6. Step 6: Final answer
    x = 186.28

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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.