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Finding the Fourth Proportional to 353.50, 530.26 and 137.06

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Solution

The fourth proportional to 353.50, 530.26 and 137.06 is: 205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.50 : 530.26 = 137.06 : x
  2. Step 2: Convert to fraction form
    353.50/530.26 = 137.06/x
  3. Step 3: Cross multiply
    353.50x = 530.26 × 137.06
  4. Step 4: Simplify right side
    353.50x = 72,677.44
  5. Step 5: Solve for x
    x = 72,677.44/353.50
  6. Step 6: Final answer
    x = 205.59

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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.