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Finding the Fourth Proportional to 200.53, 301.05 and 123.30

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Solution

The fourth proportional to 200.53, 301.05 and 123.30 is: 185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.53 : 301.05 = 123.30 : x
  2. Step 2: Convert to fraction form
    200.53/301.05 = 123.30/x
  3. Step 3: Cross multiply
    200.53x = 301.05 × 123.30
  4. Step 4: Simplify right side
    200.53x = 37,119.47
  5. Step 5: Solve for x
    x = 37,119.47/200.53
  6. Step 6: Final answer
    x = 185.11

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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.