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Finding the Fourth Proportional to 202.24, 302.66 and 125.18

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Solution

The fourth proportional to 202.24, 302.66 and 125.18 is: 187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 302.66 = 125.18 : x
  2. Step 2: Convert to fraction form
    202.24/302.66 = 125.18/x
  3. Step 3: Cross multiply
    202.24x = 302.66 × 125.18
  4. Step 4: Simplify right side
    202.24x = 37,886.98
  5. Step 5: Solve for x
    x = 37,886.98/202.24
  6. Step 6: Final answer
    x = 187.34

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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.