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Finding the Fourth Proportional to 505.48, 758.12 and 180.80

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Solution

The fourth proportional to 505.48, 758.12 and 180.80 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.48 : 758.12 = 180.80 : x
  2. Step 2: Convert to fraction form
    505.48/758.12 = 180.80/x
  3. Step 3: Cross multiply
    505.48x = 758.12 × 180.80
  4. Step 4: Simplify right side
    505.48x = 137,068.10
  5. Step 5: Solve for x
    x = 137,068.10/505.48
  6. Step 6: Final answer
    x = 271.16

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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.