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Finding the Fourth Proportional to 510.41, 765.40 and 181.25

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Solution

The fourth proportional to 510.41, 765.40 and 181.25 is: 271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.41 : 765.40 = 181.25 : x
  2. Step 2: Convert to fraction form
    510.41/765.40 = 181.25/x
  3. Step 3: Cross multiply
    510.41x = 765.40 × 181.25
  4. Step 4: Simplify right side
    510.41x = 138,728.75
  5. Step 5: Solve for x
    x = 138,728.75/510.41
  6. Step 6: Final answer
    x = 271.80

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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.