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Finding the Fourth Proportional to 205.29, 307.68 and 89.70

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Solution

The fourth proportional to 205.29, 307.68 and 89.70 is: 134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 307.68 = 89.70 : x
  2. Step 2: Convert to fraction form
    205.29/307.68 = 89.70/x
  3. Step 3: Cross multiply
    205.29x = 307.68 × 89.70
  4. Step 4: Simplify right side
    205.29x = 27,598.90
  5. Step 5: Solve for x
    x = 27,598.90/205.29
  6. Step 6: Final answer
    x = 134.44

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