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Finding the Fourth Proportional to 510.63, 766.14 and 186.02

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Solution

The fourth proportional to 510.63, 766.14 and 186.02 is: 279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.63 : 766.14 = 186.02 : x
  2. Step 2: Convert to fraction form
    510.63/766.14 = 186.02/x
  3. Step 3: Cross multiply
    510.63x = 766.14 × 186.02
  4. Step 4: Simplify right side
    510.63x = 142,517.36
  5. Step 5: Solve for x
    x = 142,517.36/510.63
  6. Step 6: Final answer
    x = 279.10

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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.