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Finding the Fourth Proportional to 214, 295.13 and 135.22

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Solution

The fourth proportional to 214, 295.13 and 135.22 is: 186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214 : 295.13 = 135.22 : x
  2. Step 2: Convert to fraction form
    214/295.13 = 135.22/x
  3. Step 3: Cross multiply
    214x = 295.13 × 135.22
  4. Step 4: Simplify right side
    214x = 39,907.48
  5. Step 5: Solve for x
    x = 39,907.48/214
  6. Step 6: Final answer
    x = 186.48

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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.