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Finding the Fourth Proportional to 183.16, 272.57 and 176.68

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Solution

The fourth proportional to 183.16, 272.57 and 176.68 is: 262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.16 : 272.57 = 176.68 : x
  2. Step 2: Convert to fraction form
    183.16/272.57 = 176.68/x
  3. Step 3: Cross multiply
    183.16x = 272.57 × 176.68
  4. Step 4: Simplify right side
    183.16x = 48,157.67
  5. Step 5: Solve for x
    x = 48,157.67/183.16
  6. Step 6: Final answer
    x = 262.93

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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.