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Finding the Fourth Proportional to 352.84, 529.35 and 109.37

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Solution

The fourth proportional to 352.84, 529.35 and 109.37 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.84 : 529.35 = 109.37 : x
  2. Step 2: Convert to fraction form
    352.84/529.35 = 109.37/x
  3. Step 3: Cross multiply
    352.84x = 529.35 × 109.37
  4. Step 4: Simplify right side
    352.84x = 57,891.82
  5. Step 5: Solve for x
    x = 57,891.82/352.84
  6. Step 6: Final answer
    x = 164.08

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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.