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Finding the Fourth Proportional to 182.88, 272.16 and 176.88

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Solution

The fourth proportional to 182.88, 272.16 and 176.88 is: 263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.88 : 272.16 = 176.88 : x
  2. Step 2: Convert to fraction form
    182.88/272.16 = 176.88/x
  3. Step 3: Cross multiply
    182.88x = 272.16 × 176.88
  4. Step 4: Simplify right side
    182.88x = 48,139.66
  5. Step 5: Solve for x
    x = 48,139.66/182.88
  6. Step 6: Final answer
    x = 263.23

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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.