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Finding the Fourth Proportional to 202.16, 302.79 and 125.14

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Solution

The fourth proportional to 202.16, 302.79 and 125.14 is: 187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 302.79 = 125.14 : x
  2. Step 2: Convert to fraction form
    202.16/302.79 = 125.14/x
  3. Step 3: Cross multiply
    202.16x = 302.79 × 125.14
  4. Step 4: Simplify right side
    202.16x = 37,890.38
  5. Step 5: Solve for x
    x = 37,890.38/202.16
  6. Step 6: Final answer
    x = 187.43

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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.