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Finding the Fourth Proportional to 207.41, 284.76 and 202.05

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Solution

The fourth proportional to 207.41, 284.76 and 202.05 is: 277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.41 : 284.76 = 202.05 : x
  2. Step 2: Convert to fraction form
    207.41/284.76 = 202.05/x
  3. Step 3: Cross multiply
    207.41x = 284.76 × 202.05
  4. Step 4: Simplify right side
    207.41x = 57,535.76
  5. Step 5: Solve for x
    x = 57,535.76/207.41
  6. Step 6: Final answer
    x = 277.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.