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Finding the Fourth Proportional to 202.16, 278.84 and 135.80

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Solution

The fourth proportional to 202.16, 278.84 and 135.80 is: 187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 278.84 = 135.80 : x
  2. Step 2: Convert to fraction form
    202.16/278.84 = 135.80/x
  3. Step 3: Cross multiply
    202.16x = 278.84 × 135.80
  4. Step 4: Simplify right side
    202.16x = 37,866.47
  5. Step 5: Solve for x
    x = 37,866.47/202.16
  6. Step 6: Final answer
    x = 187.31

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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.