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Finding the Fourth Proportional to 353.26, 530.04 and 136.78

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Solution

The fourth proportional to 353.26, 530.04 and 136.78 is: 205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.26 : 530.04 = 136.78 : x
  2. Step 2: Convert to fraction form
    353.26/530.04 = 136.78/x
  3. Step 3: Cross multiply
    353.26x = 530.04 × 136.78
  4. Step 4: Simplify right side
    353.26x = 72,498.87
  5. Step 5: Solve for x
    x = 72,498.87/353.26
  6. Step 6: Final answer
    x = 205.23

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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.