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Finding the Fourth Proportional to 510.84, 766.10 and 186.13

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Solution

The fourth proportional to 510.84, 766.10 and 186.13 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 766.10 = 186.13 : x
  2. Step 2: Convert to fraction form
    510.84/766.10 = 186.13/x
  3. Step 3: Cross multiply
    510.84x = 766.10 × 186.13
  4. Step 4: Simplify right side
    510.84x = 142,589.90
  5. Step 5: Solve for x
    x = 142,589.90/510.84
  6. Step 6: Final answer
    x = 279.13

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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.