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Finding the Fourth Proportional to 352.83, 529.14 and 136.35

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Solution

The fourth proportional to 352.83, 529.14 and 136.35 is: 204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.83 : 529.14 = 136.35 : x
  2. Step 2: Convert to fraction form
    352.83/529.14 = 136.35/x
  3. Step 3: Cross multiply
    352.83x = 529.14 × 136.35
  4. Step 4: Simplify right side
    352.83x = 72,148.24
  5. Step 5: Solve for x
    x = 72,148.24/352.83
  6. Step 6: Final answer
    x = 204.48

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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.