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Finding the Fourth Proportional to 182.59, 252.18 and 165.10

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Solution

The fourth proportional to 182.59, 252.18 and 165.10 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.59 : 252.18 = 165.10 : x
  2. Step 2: Convert to fraction form
    182.59/252.18 = 165.10/x
  3. Step 3: Cross multiply
    182.59x = 252.18 × 165.10
  4. Step 4: Simplify right side
    182.59x = 41,633.66
  5. Step 5: Solve for x
    x = 41,633.66/182.59
  6. Step 6: Final answer
    x = 228.02

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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.