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Finding the Fourth Proportional to 182.86, 275.44 and 175.27

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Solution

The fourth proportional to 182.86, 275.44 and 175.27 is: 264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.86 : 275.44 = 175.27 : x
  2. Step 2: Convert to fraction form
    182.86/275.44 = 175.27/x
  3. Step 3: Cross multiply
    182.86x = 275.44 × 175.27
  4. Step 4: Simplify right side
    182.86x = 48,276.37
  5. Step 5: Solve for x
    x = 48,276.37/182.86
  6. Step 6: Final answer
    x = 264.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.