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Finding the Fourth Proportional to 205.16, 307.74 and 102.57

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Solution

The fourth proportional to 205.16, 307.74 and 102.57 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.16 : 307.74 = 102.57 : x
  2. Step 2: Convert to fraction form
    205.16/307.74 = 102.57/x
  3. Step 3: Cross multiply
    205.16x = 307.74 × 102.57
  4. Step 4: Simplify right side
    205.16x = 31,564.89
  5. Step 5: Solve for x
    x = 31,564.89/205.16
  6. Step 6: Final answer
    x = 153.86

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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.