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Finding the Fourth Proportional to 346.80, 520.14 and 130.38

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Solution

The fourth proportional to 346.80, 520.14 and 130.38 is: 195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.80 : 520.14 = 130.38 : x
  2. Step 2: Convert to fraction form
    346.80/520.14 = 130.38/x
  3. Step 3: Cross multiply
    346.80x = 520.14 × 130.38
  4. Step 4: Simplify right side
    346.80x = 67,815.85
  5. Step 5: Solve for x
    x = 67,815.85/346.80
  6. Step 6: Final answer
    x = 195.55

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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.