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Finding the Fourth Proportional to 346.41, 519.63 and 127.02

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Solution

The fourth proportional to 346.41, 519.63 and 127.02 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.41 : 519.63 = 127.02 : x
  2. Step 2: Convert to fraction form
    346.41/519.63 = 127.02/x
  3. Step 3: Cross multiply
    346.41x = 519.63 × 127.02
  4. Step 4: Simplify right side
    346.41x = 66,003.40
  5. Step 5: Solve for x
    x = 66,003.40/346.41
  6. Step 6: Final answer
    x = 190.54

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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.