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Finding the Fourth Proportional to 353.23, 530.18 and 180.02

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Solution

The fourth proportional to 353.23, 530.18 and 180.02 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.23 : 530.18 = 180.02 : x
  2. Step 2: Convert to fraction form
    353.23/530.18 = 180.02/x
  3. Step 3: Cross multiply
    353.23x = 530.18 × 180.02
  4. Step 4: Simplify right side
    353.23x = 95,443.43
  5. Step 5: Solve for x
    x = 95,443.43/353.23
  6. Step 6: Final answer
    x = 270.20

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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.