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Finding the Fourth Proportional to 505.19, 757.32 and 180.48

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Solution

The fourth proportional to 505.19, 757.32 and 180.48 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.19 : 757.32 = 180.48 : x
  2. Step 2: Convert to fraction form
    505.19/757.32 = 180.48/x
  3. Step 3: Cross multiply
    505.19x = 757.32 × 180.48
  4. Step 4: Simplify right side
    505.19x = 136,681.11
  5. Step 5: Solve for x
    x = 136,681.11/505.19
  6. Step 6: Final answer
    x = 270.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.