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Finding the Fourth Proportional to 184.32, 274.73 and 176.22

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Solution

The fourth proportional to 184.32, 274.73 and 176.22 is: 262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.32 : 274.73 = 176.22 : x
  2. Step 2: Convert to fraction form
    184.32/274.73 = 176.22/x
  3. Step 3: Cross multiply
    184.32x = 274.73 × 176.22
  4. Step 4: Simplify right side
    184.32x = 48,412.04
  5. Step 5: Solve for x
    x = 48,412.04/184.32
  6. Step 6: Final answer
    x = 262.65

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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.