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Finding the Fourth Proportional to 202.59, 304.00 and 159.14

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Solution

The fourth proportional to 202.59, 304.00 and 159.14 is: 238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 304.00 = 159.14 : x
  2. Step 2: Convert to fraction form
    202.59/304.00 = 159.14/x
  3. Step 3: Cross multiply
    202.59x = 304.00 × 159.14
  4. Step 4: Simplify right side
    202.59x = 48,378.92
  5. Step 5: Solve for x
    x = 48,378.92/202.59
  6. Step 6: Final answer
    x = 238.80

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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.