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Finding the Fourth Proportional to 182.16, 272.90 and 145.67

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Solution

The fourth proportional to 182.16, 272.90 and 145.67 is: 218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 272.90 = 145.67 : x
  2. Step 2: Convert to fraction form
    182.16/272.90 = 145.67/x
  3. Step 3: Cross multiply
    182.16x = 272.90 × 145.67
  4. Step 4: Simplify right side
    182.16x = 39,751.25
  5. Step 5: Solve for x
    x = 39,751.25/182.16
  6. Step 6: Final answer
    x = 218.22

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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.