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Finding the Fourth Proportional to 353.42, 530.16 and 109.96

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Solution

The fourth proportional to 353.42, 530.16 and 109.96 is: 164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.42 : 530.16 = 109.96 : x
  2. Step 2: Convert to fraction form
    353.42/530.16 = 109.96/x
  3. Step 3: Cross multiply
    353.42x = 530.16 × 109.96
  4. Step 4: Simplify right side
    353.42x = 58,296.39
  5. Step 5: Solve for x
    x = 58,296.39/353.42
  6. Step 6: Final answer
    x = 164.95

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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.