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Finding the Fourth Proportional to 298.52, 412.15 and 186.53

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Solution

The fourth proportional to 298.52, 412.15 and 186.53 is: 257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.52 : 412.15 = 186.53 : x
  2. Step 2: Convert to fraction form
    298.52/412.15 = 186.53/x
  3. Step 3: Cross multiply
    298.52x = 412.15 × 186.53
  4. Step 4: Simplify right side
    298.52x = 76,876.28
  5. Step 5: Solve for x
    x = 76,876.28/298.52
  6. Step 6: Final answer
    x = 257.53

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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.