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Finding the Fourth Proportional to 182.20, 272.07 and 156.22

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Solution

The fourth proportional to 182.20, 272.07 and 156.22 is: 233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.20 : 272.07 = 156.22 : x
  2. Step 2: Convert to fraction form
    182.20/272.07 = 156.22/x
  3. Step 3: Cross multiply
    182.20x = 272.07 × 156.22
  4. Step 4: Simplify right side
    182.20x = 42,502.78
  5. Step 5: Solve for x
    x = 42,502.78/182.20
  6. Step 6: Final answer
    x = 233.28

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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.