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Finding the Fourth Proportional to 205.53, 307.94 and 102.57

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Solution

The fourth proportional to 205.53, 307.94 and 102.57 is: 153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 307.94 = 102.57 : x
  2. Step 2: Convert to fraction form
    205.53/307.94 = 102.57/x
  3. Step 3: Cross multiply
    205.53x = 307.94 × 102.57
  4. Step 4: Simplify right side
    205.53x = 31,584.89
  5. Step 5: Solve for x
    x = 31,584.89/205.53
  6. Step 6: Final answer
    x = 153.68

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Why These Related Problems?

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