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Finding the Fourth Proportional to 183.25, 272.51 and 177.48

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Solution

The fourth proportional to 183.25, 272.51 and 177.48 is: 263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.25 : 272.51 = 177.48 : x
  2. Step 2: Convert to fraction form
    183.25/272.51 = 177.48/x
  3. Step 3: Cross multiply
    183.25x = 272.51 × 177.48
  4. Step 4: Simplify right side
    183.25x = 48,363.71
  5. Step 5: Solve for x
    x = 48,363.71/183.25
  6. Step 6: Final answer
    x = 263.93

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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.