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Finding the Fourth Proportional to 202.80, 304.66 and 164.53

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Solution

The fourth proportional to 202.80, 304.66 and 164.53 is: 247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 304.66 = 164.53 : x
  2. Step 2: Convert to fraction form
    202.80/304.66 = 164.53/x
  3. Step 3: Cross multiply
    202.80x = 304.66 × 164.53
  4. Step 4: Simplify right side
    202.80x = 50,126.30
  5. Step 5: Solve for x
    x = 50,126.30/202.80
  6. Step 6: Final answer
    x = 247.17

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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.