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Finding the Fourth Proportional to 204.17, 306.53 and 123.08

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Solution

The fourth proportional to 204.17, 306.53 and 123.08 is: 184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.17 : 306.53 = 123.08 : x
  2. Step 2: Convert to fraction form
    204.17/306.53 = 123.08/x
  3. Step 3: Cross multiply
    204.17x = 306.53 × 123.08
  4. Step 4: Simplify right side
    204.17x = 37,727.10
  5. Step 5: Solve for x
    x = 37,727.10/204.17
  6. Step 6: Final answer
    x = 184.78

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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.