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Finding the Fourth Proportional to 205.19, 308.01 and 156.32

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Solution

The fourth proportional to 205.19, 308.01 and 156.32 is: 234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.19 : 308.01 = 156.32 : x
  2. Step 2: Convert to fraction form
    205.19/308.01 = 156.32/x
  3. Step 3: Cross multiply
    205.19x = 308.01 × 156.32
  4. Step 4: Simplify right side
    205.19x = 48,146.58
  5. Step 5: Solve for x
    x = 48,146.58/205.19
  6. Step 6: Final answer
    x = 234.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.