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Finding the Fourth Proportional to 345.94, 519.04 and 129.53

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Solution

The fourth proportional to 345.94, 519.04 and 129.53 is: 194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.94 : 519.04 = 129.53 : x
  2. Step 2: Convert to fraction form
    345.94/519.04 = 129.53/x
  3. Step 3: Cross multiply
    345.94x = 519.04 × 129.53
  4. Step 4: Simplify right side
    345.94x = 67,231.25
  5. Step 5: Solve for x
    x = 67,231.25/345.94
  6. Step 6: Final answer
    x = 194.35

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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.