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Finding the Fourth Proportional to 505.38, 758.04 and 180.66

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Solution

The fourth proportional to 505.38, 758.04 and 180.66 is: 270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 758.04 = 180.66 : x
  2. Step 2: Convert to fraction form
    505.38/758.04 = 180.66/x
  3. Step 3: Cross multiply
    505.38x = 758.04 × 180.66
  4. Step 4: Simplify right side
    505.38x = 136,947.51
  5. Step 5: Solve for x
    x = 136,947.51/505.38
  6. Step 6: Final answer
    x = 270.98

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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.