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Finding the Fourth Proportional to 510.59, 765.90 and 163.95

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Solution

The fourth proportional to 510.59, 765.90 and 163.95 is: 245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.59 : 765.90 = 163.95 : x
  2. Step 2: Convert to fraction form
    510.59/765.90 = 163.95/x
  3. Step 3: Cross multiply
    510.59x = 765.90 × 163.95
  4. Step 4: Simplify right side
    510.59x = 125,569.31
  5. Step 5: Solve for x
    x = 125,569.31/510.59
  6. Step 6: Final answer
    x = 245.93

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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.