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Finding the Fourth Proportional to 213.51, 294.34 and 151.15

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Solution

The fourth proportional to 213.51, 294.34 and 151.15 is: 208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.51 : 294.34 = 151.15 : x
  2. Step 2: Convert to fraction form
    213.51/294.34 = 151.15/x
  3. Step 3: Cross multiply
    213.51x = 294.34 × 151.15
  4. Step 4: Simplify right side
    213.51x = 44,489.49
  5. Step 5: Solve for x
    x = 44,489.49/213.51
  6. Step 6: Final answer
    x = 208.37

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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.