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Finding the Fourth Proportional to 353.21, 530.03 and 136.78

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Solution

The fourth proportional to 353.21, 530.03 and 136.78 is: 205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.21 : 530.03 = 136.78 : x
  2. Step 2: Convert to fraction form
    353.21/530.03 = 136.78/x
  3. Step 3: Cross multiply
    353.21x = 530.03 × 136.78
  4. Step 4: Simplify right side
    353.21x = 72,497.50
  5. Step 5: Solve for x
    x = 72,497.50/353.21
  6. Step 6: Final answer
    x = 205.25

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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.