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Finding the Fourth Proportional to 510.80, 765.90 and 164.07

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Solution

The fourth proportional to 510.80, 765.90 and 164.07 is: 246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.80 : 765.90 = 164.07 : x
  2. Step 2: Convert to fraction form
    510.80/765.90 = 164.07/x
  3. Step 3: Cross multiply
    510.80x = 765.90 × 164.07
  4. Step 4: Simplify right side
    510.80x = 125,661.21
  5. Step 5: Solve for x
    x = 125,661.21/510.80
  6. Step 6: Final answer
    x = 246.01

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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.