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Finding the Fourth Proportional to 205.15, 307.25 and 102.11

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Solution

The fourth proportional to 205.15, 307.25 and 102.11 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.15 : 307.25 = 102.11 : x
  2. Step 2: Convert to fraction form
    205.15/307.25 = 102.11/x
  3. Step 3: Cross multiply
    205.15x = 307.25 × 102.11
  4. Step 4: Simplify right side
    205.15x = 31,372.79
  5. Step 5: Solve for x
    x = 31,372.79/205.15
  6. Step 6: Final answer
    x = 152.93

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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.