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Finding the Fourth Proportional to 205.18, 307.10 and 113.65

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Solution

The fourth proportional to 205.18, 307.10 and 113.65 is: 170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.18 : 307.10 = 113.65 : x
  2. Step 2: Convert to fraction form
    205.18/307.10 = 113.65/x
  3. Step 3: Cross multiply
    205.18x = 307.10 × 113.65
  4. Step 4: Simplify right side
    205.18x = 34,901.35
  5. Step 5: Solve for x
    x = 34,901.35/205.18
  6. Step 6: Final answer
    x = 170.10

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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.