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Finding the Fourth Proportional to 510.26, 765.39 and 125.51

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Solution

The fourth proportional to 510.26, 765.39 and 125.51 is: 188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.26 : 765.39 = 125.51 : x
  2. Step 2: Convert to fraction form
    510.26/765.39 = 125.51/x
  3. Step 3: Cross multiply
    510.26x = 765.39 × 125.51
  4. Step 4: Simplify right side
    510.26x = 96,064.10
  5. Step 5: Solve for x
    x = 96,064.10/510.26
  6. Step 6: Final answer
    x = 188.27

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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.