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Finding the Fourth Proportional to 356.14, 532.86 and 234.55

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Solution

The fourth proportional to 356.14, 532.86 and 234.55 is: 350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.14 : 532.86 = 234.55 : x
  2. Step 2: Convert to fraction form
    356.14/532.86 = 234.55/x
  3. Step 3: Cross multiply
    356.14x = 532.86 × 234.55
  4. Step 4: Simplify right side
    356.14x = 124,982.31
  5. Step 5: Solve for x
    x = 124,982.31/356.14
  6. Step 6: Final answer
    x = 350.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.