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Finding the Fourth Proportional to 183.02, 272.68 and 176.00

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Solution

The fourth proportional to 183.02, 272.68 and 176.00 is: 262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 272.68 = 176.00 : x
  2. Step 2: Convert to fraction form
    183.02/272.68 = 176.00/x
  3. Step 3: Cross multiply
    183.02x = 272.68 × 176.00
  4. Step 4: Simplify right side
    183.02x = 47,989.88
  5. Step 5: Solve for x
    x = 47,989.88/183.02
  6. Step 6: Final answer
    x = 262.22

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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.