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Finding the Fourth Proportional to 373.06, 559.64 and 129.57

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Solution

The fourth proportional to 373.06, 559.64 and 129.57 is: 194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.06 : 559.64 = 129.57 : x
  2. Step 2: Convert to fraction form
    373.06/559.64 = 129.57/x
  3. Step 3: Cross multiply
    373.06x = 559.64 × 129.57
  4. Step 4: Simplify right side
    373.06x = 72,512.55
  5. Step 5: Solve for x
    x = 72,512.55/373.06
  6. Step 6: Final answer
    x = 194.37

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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.