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Finding the Fourth Proportional to 345.96, 519.02 and 126.60

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Solution

The fourth proportional to 345.96, 519.02 and 126.60 is: 189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.96 : 519.02 = 126.60 : x
  2. Step 2: Convert to fraction form
    345.96/519.02 = 126.60/x
  3. Step 3: Cross multiply
    345.96x = 519.02 × 126.60
  4. Step 4: Simplify right side
    345.96x = 65,707.30
  5. Step 5: Solve for x
    x = 65,707.30/345.96
  6. Step 6: Final answer
    x = 189.93

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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.