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Finding the Fourth Proportional to 202.04, 302.90 and 110.69

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Solution

The fourth proportional to 202.04, 302.90 and 110.69 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.04 : 302.90 = 110.69 : x
  2. Step 2: Convert to fraction form
    202.04/302.90 = 110.69/x
  3. Step 3: Cross multiply
    202.04x = 302.90 × 110.69
  4. Step 4: Simplify right side
    202.04x = 33,528.00
  5. Step 5: Solve for x
    x = 33,528.00/202.04
  6. Step 6: Final answer
    x = 165.95

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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.