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Finding the Fourth Proportional to 346.69, 519.86 and 130.12

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Solution

The fourth proportional to 346.69, 519.86 and 130.12 is: 195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.69 : 519.86 = 130.12 : x
  2. Step 2: Convert to fraction form
    346.69/519.86 = 130.12/x
  3. Step 3: Cross multiply
    346.69x = 519.86 × 130.12
  4. Step 4: Simplify right side
    346.69x = 67,644.18
  5. Step 5: Solve for x
    x = 67,644.18/346.69
  6. Step 6: Final answer
    x = 195.11

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