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Finding the Fourth Proportional to 202.84, 280.31 and 150.45

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Solution

The fourth proportional to 202.84, 280.31 and 150.45 is: 207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.84 : 280.31 = 150.45 : x
  2. Step 2: Convert to fraction form
    202.84/280.31 = 150.45/x
  3. Step 3: Cross multiply
    202.84x = 280.31 × 150.45
  4. Step 4: Simplify right side
    202.84x = 42,172.64
  5. Step 5: Solve for x
    x = 42,172.64/202.84
  6. Step 6: Final answer
    x = 207.91

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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.