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Finding the Fourth Proportional to 205.10, 307.04 and 123.69

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Solution

The fourth proportional to 205.10, 307.04 and 123.69 is: 185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.10 : 307.04 = 123.69 : x
  2. Step 2: Convert to fraction form
    205.10/307.04 = 123.69/x
  3. Step 3: Cross multiply
    205.10x = 307.04 × 123.69
  4. Step 4: Simplify right side
    205.10x = 37,977.16
  5. Step 5: Solve for x
    x = 37,977.16/205.10
  6. Step 6: Final answer
    x = 185.17

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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.