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Finding the Fourth Proportional to 202.58, 304.10 and 115.98

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Solution

The fourth proportional to 202.58, 304.10 and 115.98 is: 174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 304.10 = 115.98 : x
  2. Step 2: Convert to fraction form
    202.58/304.10 = 115.98/x
  3. Step 3: Cross multiply
    202.58x = 304.10 × 115.98
  4. Step 4: Simplify right side
    202.58x = 35,270.60
  5. Step 5: Solve for x
    x = 35,270.60/202.58
  6. Step 6: Final answer
    x = 174.11

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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.