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Finding the Fourth Proportional to 182.95, 273.35 and 176.57

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Solution

The fourth proportional to 182.95, 273.35 and 176.57 is: 263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.95 : 273.35 = 176.57 : x
  2. Step 2: Convert to fraction form
    182.95/273.35 = 176.57/x
  3. Step 3: Cross multiply
    182.95x = 273.35 × 176.57
  4. Step 4: Simplify right side
    182.95x = 48,265.41
  5. Step 5: Solve for x
    x = 48,265.41/182.95
  6. Step 6: Final answer
    x = 263.82

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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.