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Finding the Fourth Proportional to 204.65, 307.02 and 123.40

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Solution

The fourth proportional to 204.65, 307.02 and 123.40 is: 185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.65 : 307.02 = 123.40 : x
  2. Step 2: Convert to fraction form
    204.65/307.02 = 123.40/x
  3. Step 3: Cross multiply
    204.65x = 307.02 × 123.40
  4. Step 4: Simplify right side
    204.65x = 37,885.21
  5. Step 5: Solve for x
    x = 37,885.21/204.65
  6. Step 6: Final answer
    x = 185.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.