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Finding the Fourth Proportional to 298.55, 411.99 and 165.77

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Solution

The fourth proportional to 298.55, 411.99 and 165.77 is: 228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.55 : 411.99 = 165.77 : x
  2. Step 2: Convert to fraction form
    298.55/411.99 = 165.77/x
  3. Step 3: Cross multiply
    298.55x = 411.99 × 165.77
  4. Step 4: Simplify right side
    298.55x = 68,293.19
  5. Step 5: Solve for x
    x = 68,293.19/298.55
  6. Step 6: Final answer
    x = 228.75

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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.