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Finding the Fourth Proportional to 205.23, 307.63 and 106.45

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Solution

The fourth proportional to 205.23, 307.63 and 106.45 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.23 : 307.63 = 106.45 : x
  2. Step 2: Convert to fraction form
    205.23/307.63 = 106.45/x
  3. Step 3: Cross multiply
    205.23x = 307.63 × 106.45
  4. Step 4: Simplify right side
    205.23x = 32,748.31
  5. Step 5: Solve for x
    x = 32,748.31/205.23
  6. Step 6: Final answer
    x = 159.57

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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.