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Finding the Fourth Proportional to 298.47, 411.77 and 186.39

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Solution

The fourth proportional to 298.47, 411.77 and 186.39 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.47 : 411.77 = 186.39 : x
  2. Step 2: Convert to fraction form
    298.47/411.77 = 186.39/x
  3. Step 3: Cross multiply
    298.47x = 411.77 × 186.39
  4. Step 4: Simplify right side
    298.47x = 76,748.88
  5. Step 5: Solve for x
    x = 76,748.88/298.47
  6. Step 6: Final answer
    x = 257.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.