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Finding the Fourth Proportional to 298.96, 448.41 and 116.50

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Solution

The fourth proportional to 298.96, 448.41 and 116.50 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 448.41 = 116.50 : x
  2. Step 2: Convert to fraction form
    298.96/448.41 = 116.50/x
  3. Step 3: Cross multiply
    298.96x = 448.41 × 116.50
  4. Step 4: Simplify right side
    298.96x = 52,239.77
  5. Step 5: Solve for x
    x = 52,239.77/298.96
  6. Step 6: Final answer
    x = 174.74

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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.