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Finding the Fourth Proportional to 505.02, 757.38 and 180.30

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Solution

The fourth proportional to 505.02, 757.38 and 180.30 is: 270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.02 : 757.38 = 180.30 : x
  2. Step 2: Convert to fraction form
    505.02/757.38 = 180.30/x
  3. Step 3: Cross multiply
    505.02x = 757.38 × 180.30
  4. Step 4: Simplify right side
    505.02x = 136,555.61
  5. Step 5: Solve for x
    x = 136,555.61/505.02
  6. Step 6: Final answer
    x = 270.40

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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.