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Finding the Fourth Proportional to 182.55, 272.01 and 175.57

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Solution

The fourth proportional to 182.55, 272.01 and 175.57 is: 261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.55 : 272.01 = 175.57 : x
  2. Step 2: Convert to fraction form
    182.55/272.01 = 175.57/x
  3. Step 3: Cross multiply
    182.55x = 272.01 × 175.57
  4. Step 4: Simplify right side
    182.55x = 47,755.79
  5. Step 5: Solve for x
    x = 47,755.79/182.55
  6. Step 6: Final answer
    x = 261.60

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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.