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Finding the Fourth Proportional to 202.24, 302.86 and 137

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Solution

The fourth proportional to 202.24, 302.86 and 137 is: 205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 302.86 = 137 : x
  2. Step 2: Convert to fraction form
    202.24/302.86 = 137/x
  3. Step 3: Cross multiply
    202.24x = 302.86 × 137
  4. Step 4: Simplify right side
    202.24x = 41,491.82
  5. Step 5: Solve for x
    x = 41,491.82/202.24
  6. Step 6: Final answer
    x = 205.16

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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.