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Finding the Fourth Proportional to 213.43, 294.59 and 151.25

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Solution

The fourth proportional to 213.43, 294.59 and 151.25 is: 208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.43 : 294.59 = 151.25 : x
  2. Step 2: Convert to fraction form
    213.43/294.59 = 151.25/x
  3. Step 3: Cross multiply
    213.43x = 294.59 × 151.25
  4. Step 4: Simplify right side
    213.43x = 44,556.74
  5. Step 5: Solve for x
    x = 44,556.74/213.43
  6. Step 6: Final answer
    x = 208.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.