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Finding the Fourth Proportional to 353.90, 530.96 and 137.63

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Solution

The fourth proportional to 353.90, 530.96 and 137.63 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.90 : 530.96 = 137.63 : x
  2. Step 2: Convert to fraction form
    353.90/530.96 = 137.63/x
  3. Step 3: Cross multiply
    353.90x = 530.96 × 137.63
  4. Step 4: Simplify right side
    353.90x = 73,076.66
  5. Step 5: Solve for x
    x = 73,076.66/353.90
  6. Step 6: Final answer
    x = 206.49

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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.