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Finding the Fourth Proportional to 510.93, 766.39 and 186.16

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Solution

The fourth proportional to 510.93, 766.39 and 186.16 is: 279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.93 : 766.39 = 186.16 : x
  2. Step 2: Convert to fraction form
    510.93/766.39 = 186.16/x
  3. Step 3: Cross multiply
    510.93x = 766.39 × 186.16
  4. Step 4: Simplify right side
    510.93x = 142,671.16
  5. Step 5: Solve for x
    x = 142,671.16/510.93
  6. Step 6: Final answer
    x = 279.24

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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.