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Finding the Fourth Proportional to 353.61, 529.86 and 137.07

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Solution

The fourth proportional to 353.61, 529.86 and 137.07 is: 205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.61 : 529.86 = 137.07 : x
  2. Step 2: Convert to fraction form
    353.61/529.86 = 137.07/x
  3. Step 3: Cross multiply
    353.61x = 529.86 × 137.07
  4. Step 4: Simplify right side
    353.61x = 72,627.91
  5. Step 5: Solve for x
    x = 72,627.91/353.61
  6. Step 6: Final answer
    x = 205.39

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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.