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Finding the Fourth Proportional to 346.77, 519.89 and 130.23

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Solution

The fourth proportional to 346.77, 519.89 and 130.23 is: 195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.77 : 519.89 = 130.23 : x
  2. Step 2: Convert to fraction form
    346.77/519.89 = 130.23/x
  3. Step 3: Cross multiply
    346.77x = 519.89 × 130.23
  4. Step 4: Simplify right side
    346.77x = 67,704.62
  5. Step 5: Solve for x
    x = 67,704.62/346.77
  6. Step 6: Final answer
    x = 195.24

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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.