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Finding the Fourth Proportional to 182.99, 253.53 and 180.77

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Solution

The fourth proportional to 182.99, 253.53 and 180.77 is: 250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.99 : 253.53 = 180.77 : x
  2. Step 2: Convert to fraction form
    182.99/253.53 = 180.77/x
  3. Step 3: Cross multiply
    182.99x = 253.53 × 180.77
  4. Step 4: Simplify right side
    182.99x = 45,829.35
  5. Step 5: Solve for x
    x = 45,829.35/182.99
  6. Step 6: Final answer
    x = 250.44

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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.