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Finding the Fourth Proportional to 298.58, 447.80 and 82.17

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Solution

The fourth proportional to 298.58, 447.80 and 82.17 is: 123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.58 : 447.80 = 82.17 : x
  2. Step 2: Convert to fraction form
    298.58/447.80 = 82.17/x
  3. Step 3: Cross multiply
    298.58x = 447.80 × 82.17
  4. Step 4: Simplify right side
    298.58x = 36,795.32
  5. Step 5: Solve for x
    x = 36,795.32/298.58
  6. Step 6: Final answer
    x = 123.24

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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.