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Finding the Fourth Proportional to 207.51, 284.70 and 202.34

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Solution

The fourth proportional to 207.51, 284.70 and 202.34 is: 277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.51 : 284.70 = 202.34 : x
  2. Step 2: Convert to fraction form
    207.51/284.70 = 202.34/x
  3. Step 3: Cross multiply
    207.51x = 284.70 × 202.34
  4. Step 4: Simplify right side
    207.51x = 57,606.20
  5. Step 5: Solve for x
    x = 57,606.20/207.51
  6. Step 6: Final answer
    x = 277.61

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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.