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Finding the Fourth Proportional to 202.48, 302.26 and 178.18

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Solution

The fourth proportional to 202.48, 302.26 and 178.18 is: 265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.48 : 302.26 = 178.18 : x
  2. Step 2: Convert to fraction form
    202.48/302.26 = 178.18/x
  3. Step 3: Cross multiply
    202.48x = 302.26 × 178.18
  4. Step 4: Simplify right side
    202.48x = 53,856.69
  5. Step 5: Solve for x
    x = 53,856.69/202.48
  6. Step 6: Final answer
    x = 265.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.