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Finding the Fourth Proportional to 298.95, 412.59 and 180.92

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Solution

The fourth proportional to 298.95, 412.59 and 180.92 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.95 : 412.59 = 180.92 : x
  2. Step 2: Convert to fraction form
    298.95/412.59 = 180.92/x
  3. Step 3: Cross multiply
    298.95x = 412.59 × 180.92
  4. Step 4: Simplify right side
    298.95x = 74,648.06
  5. Step 5: Solve for x
    x = 74,648.06/298.95
  6. Step 6: Final answer
    x = 249.70

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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.