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Finding the Fourth Proportional to 510.09, 765.13 and 158.69

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Solution

The fourth proportional to 510.09, 765.13 and 158.69 is: 238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.09 : 765.13 = 158.69 : x
  2. Step 2: Convert to fraction form
    510.09/765.13 = 158.69/x
  3. Step 3: Cross multiply
    510.09x = 765.13 × 158.69
  4. Step 4: Simplify right side
    510.09x = 121,418.48
  5. Step 5: Solve for x
    x = 121,418.48/510.09
  6. Step 6: Final answer
    x = 238.03

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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.