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Finding the Fourth Proportional to 346.41, 519.70 and 151.43

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Solution

The fourth proportional to 346.41, 519.70 and 151.43 is: 227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.41 : 519.70 = 151.43 : x
  2. Step 2: Convert to fraction form
    346.41/519.70 = 151.43/x
  3. Step 3: Cross multiply
    346.41x = 519.70 × 151.43
  4. Step 4: Simplify right side
    346.41x = 78,696.48
  5. Step 5: Solve for x
    x = 78,696.48/346.41
  6. Step 6: Final answer
    x = 227.18

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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.