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Finding the Fourth Proportional to 213, 293.94 and 135.42

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Solution

The fourth proportional to 213, 293.94 and 135.42 is: 186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 293.94 = 135.42 : x
  2. Step 2: Convert to fraction form
    213/293.94 = 135.42/x
  3. Step 3: Cross multiply
    213x = 293.94 × 135.42
  4. Step 4: Simplify right side
    213x = 39,805.35
  5. Step 5: Solve for x
    x = 39,805.35/213
  6. Step 6: Final answer
    x = 186.88

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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.