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Finding the Fourth Proportional to 205.66, 307.86 and 186.40

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Solution

The fourth proportional to 205.66, 307.86 and 186.40 is: 279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.66 : 307.86 = 186.40 : x
  2. Step 2: Convert to fraction form
    205.66/307.86 = 186.40/x
  3. Step 3: Cross multiply
    205.66x = 307.86 × 186.40
  4. Step 4: Simplify right side
    205.66x = 57,385.10
  5. Step 5: Solve for x
    x = 57,385.10/205.66
  6. Step 6: Final answer
    x = 279.03

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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.