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Finding the Fourth Proportional to 202.51, 304.06 and 115.94

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Solution

The fourth proportional to 202.51, 304.06 and 115.94 is: 174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.51 : 304.06 = 115.94 : x
  2. Step 2: Convert to fraction form
    202.51/304.06 = 115.94/x
  3. Step 3: Cross multiply
    202.51x = 304.06 × 115.94
  4. Step 4: Simplify right side
    202.51x = 35,252.62
  5. Step 5: Solve for x
    x = 35,252.62/202.51
  6. Step 6: Final answer
    x = 174.08

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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.