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Finding the Fourth Proportional to 182.57, 272.79 and 176.19

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Solution

The fourth proportional to 182.57, 272.79 and 176.19 is: 263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.57 : 272.79 = 176.19 : x
  2. Step 2: Convert to fraction form
    182.57/272.79 = 176.19/x
  3. Step 3: Cross multiply
    182.57x = 272.79 × 176.19
  4. Step 4: Simplify right side
    182.57x = 48,063.33
  5. Step 5: Solve for x
    x = 48,063.33/182.57
  6. Step 6: Final answer
    x = 263.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.