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Finding the Fourth Proportional to 205.29, 307.58 and 150.57

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Solution

The fourth proportional to 205.29, 307.58 and 150.57 is: 225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 307.58 = 150.57 : x
  2. Step 2: Convert to fraction form
    205.29/307.58 = 150.57/x
  3. Step 3: Cross multiply
    205.29x = 307.58 × 150.57
  4. Step 4: Simplify right side
    205.29x = 46,311.57
  5. Step 5: Solve for x
    x = 46,311.57/205.29
  6. Step 6: Final answer
    x = 225.59

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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.