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Finding the Fourth Proportional to 182.03, 272.50 and 167.45

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Solution

The fourth proportional to 182.03, 272.50 and 167.45 is: 250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.03 : 272.50 = 167.45 : x
  2. Step 2: Convert to fraction form
    182.03/272.50 = 167.45/x
  3. Step 3: Cross multiply
    182.03x = 272.50 × 167.45
  4. Step 4: Simplify right side
    182.03x = 45,628.34
  5. Step 5: Solve for x
    x = 45,628.34/182.03
  6. Step 6: Final answer
    x = 250.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.