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Finding the Fourth Proportional to 202, 302.72 and 182.02

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Solution

The fourth proportional to 202, 302.72 and 182.02 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 302.72 = 182.02 : x
  2. Step 2: Convert to fraction form
    202/302.72 = 182.02/x
  3. Step 3: Cross multiply
    202x = 302.72 × 182.02
  4. Step 4: Simplify right side
    202x = 55,101.09
  5. Step 5: Solve for x
    x = 55,101.09/202
  6. Step 6: Final answer
    x = 272.78

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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.