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Finding the Fourth Proportional to 205.42, 308.12 and 120.10

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Solution

The fourth proportional to 205.42, 308.12 and 120.10 is: 180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 308.12 = 120.10 : x
  2. Step 2: Convert to fraction form
    205.42/308.12 = 120.10/x
  3. Step 3: Cross multiply
    205.42x = 308.12 × 120.10
  4. Step 4: Simplify right side
    205.42x = 37,005.21
  5. Step 5: Solve for x
    x = 37,005.21/205.42
  6. Step 6: Final answer
    x = 180.14

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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.