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Finding the Fourth Proportional to 353.12, 529.64 and 109.70

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Solution

The fourth proportional to 353.12, 529.64 and 109.70 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.12 : 529.64 = 109.70 : x
  2. Step 2: Convert to fraction form
    353.12/529.64 = 109.70/x
  3. Step 3: Cross multiply
    353.12x = 529.64 × 109.70
  4. Step 4: Simplify right side
    353.12x = 58,101.51
  5. Step 5: Solve for x
    x = 58,101.51/353.12
  6. Step 6: Final answer
    x = 164.54

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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.