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Finding the Fourth Proportional to 202, 278.82 and 136.48

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Solution

The fourth proportional to 202, 278.82 and 136.48 is: 188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 278.82 = 136.48 : x
  2. Step 2: Convert to fraction form
    202/278.82 = 136.48/x
  3. Step 3: Cross multiply
    202x = 278.82 × 136.48
  4. Step 4: Simplify right side
    202x = 38,053.35
  5. Step 5: Solve for x
    x = 38,053.35/202
  6. Step 6: Final answer
    x = 188.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.