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Finding the Fourth Proportional to 202.84, 280.10 and 161.58

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Solution

The fourth proportional to 202.84, 280.10 and 161.58 is: 223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.84 : 280.10 = 161.58 : x
  2. Step 2: Convert to fraction form
    202.84/280.10 = 161.58/x
  3. Step 3: Cross multiply
    202.84x = 280.10 × 161.58
  4. Step 4: Simplify right side
    202.84x = 45,256.71
  5. Step 5: Solve for x
    x = 45,256.71/202.84
  6. Step 6: Final answer
    x = 223.12

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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.