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Finding the Fourth Proportional to 182.36, 253.21 and 177.95

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Solution

The fourth proportional to 182.36, 253.21 and 177.95 is: 247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.36 : 253.21 = 177.95 : x
  2. Step 2: Convert to fraction form
    182.36/253.21 = 177.95/x
  3. Step 3: Cross multiply
    182.36x = 253.21 × 177.95
  4. Step 4: Simplify right side
    182.36x = 45,057.83
  5. Step 5: Solve for x
    x = 45,057.83/182.36
  6. Step 6: Final answer
    x = 247.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.