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Finding the Fourth Proportional to 204.26, 306.52 and 101.45

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Solution

The fourth proportional to 204.26, 306.52 and 101.45 is: 152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.26 : 306.52 = 101.45 : x
  2. Step 2: Convert to fraction form
    204.26/306.52 = 101.45/x
  3. Step 3: Cross multiply
    204.26x = 306.52 × 101.45
  4. Step 4: Simplify right side
    204.26x = 31,096.97
  5. Step 5: Solve for x
    x = 31,096.97/204.26
  6. Step 6: Final answer
    x = 152.25

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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.