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Finding the Fourth Proportional to 505.38, 758.34 and 181.02

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Solution

The fourth proportional to 505.38, 758.34 and 181.02 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 758.34 = 181.02 : x
  2. Step 2: Convert to fraction form
    505.38/758.34 = 181.02/x
  3. Step 3: Cross multiply
    505.38x = 758.34 × 181.02
  4. Step 4: Simplify right side
    505.38x = 137,274.71
  5. Step 5: Solve for x
    x = 137,274.71/505.38
  6. Step 6: Final answer
    x = 271.63

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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.