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Finding the Fourth Proportional to 202.95, 304.09 and 159.44

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Solution

The fourth proportional to 202.95, 304.09 and 159.44 is: 238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.95 : 304.09 = 159.44 : x
  2. Step 2: Convert to fraction form
    202.95/304.09 = 159.44/x
  3. Step 3: Cross multiply
    202.95x = 304.09 × 159.44
  4. Step 4: Simplify right side
    202.95x = 48,482.19
  5. Step 5: Solve for x
    x = 48,482.19/202.95
  6. Step 6: Final answer
    x = 238.89

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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.