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Finding the Fourth Proportional to 185.59, 276.44 and 176.23

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Solution

The fourth proportional to 185.59, 276.44 and 176.23 is: 262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.59 : 276.44 = 176.23 : x
  2. Step 2: Convert to fraction form
    185.59/276.44 = 176.23/x
  3. Step 3: Cross multiply
    185.59x = 276.44 × 176.23
  4. Step 4: Simplify right side
    185.59x = 48,717.02
  5. Step 5: Solve for x
    x = 48,717.02/185.59
  6. Step 6: Final answer
    x = 262.50

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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.