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Finding the Fourth Proportional to 182.78, 272.85 and 170.14

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Solution

The fourth proportional to 182.78, 272.85 and 170.14 is: 253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.78 : 272.85 = 170.14 : x
  2. Step 2: Convert to fraction form
    182.78/272.85 = 170.14/x
  3. Step 3: Cross multiply
    182.78x = 272.85 × 170.14
  4. Step 4: Simplify right side
    182.78x = 46,422.70
  5. Step 5: Solve for x
    x = 46,422.70/182.78
  6. Step 6: Final answer
    x = 253.98

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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.