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Finding the Fourth Proportional to 353.93, 530.15 and 180.07

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Solution

The fourth proportional to 353.93, 530.15 and 180.07 is: 269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.93 : 530.15 = 180.07 : x
  2. Step 2: Convert to fraction form
    353.93/530.15 = 180.07/x
  3. Step 3: Cross multiply
    353.93x = 530.15 × 180.07
  4. Step 4: Simplify right side
    353.93x = 95,464.56
  5. Step 5: Solve for x
    x = 95,464.56/353.93
  6. Step 6: Final answer
    x = 269.73

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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.