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Finding the Fourth Proportional to 182.84, 252.32 and 105.22

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Solution

The fourth proportional to 182.84, 252.32 and 105.22 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.84 : 252.32 = 105.22 : x
  2. Step 2: Convert to fraction form
    182.84/252.32 = 105.22/x
  3. Step 3: Cross multiply
    182.84x = 252.32 × 105.22
  4. Step 4: Simplify right side
    182.84x = 26,549.11
  5. Step 5: Solve for x
    x = 26,549.11/182.84
  6. Step 6: Final answer
    x = 145.20

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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.