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Finding the Fourth Proportional to 353.47, 530.27 and 109.94

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Solution

The fourth proportional to 353.47, 530.27 and 109.94 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.47 : 530.27 = 109.94 : x
  2. Step 2: Convert to fraction form
    353.47/530.27 = 109.94/x
  3. Step 3: Cross multiply
    353.47x = 530.27 × 109.94
  4. Step 4: Simplify right side
    353.47x = 58,294.68
  5. Step 5: Solve for x
    x = 58,294.68/353.47
  6. Step 6: Final answer
    x = 164.92

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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.