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Finding the Fourth Proportional to 510.56, 765.64 and 181.40

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Solution

The fourth proportional to 510.56, 765.64 and 181.40 is: 272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 765.64 = 181.40 : x
  2. Step 2: Convert to fraction form
    510.56/765.64 = 181.40/x
  3. Step 3: Cross multiply
    510.56x = 765.64 × 181.40
  4. Step 4: Simplify right side
    510.56x = 138,887.10
  5. Step 5: Solve for x
    x = 138,887.10/510.56
  6. Step 6: Final answer
    x = 272.03

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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.