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Finding the Fourth Proportional to 220.10, 303.51 and 178.05

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Solution

The fourth proportional to 220.10, 303.51 and 178.05 is: 245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.10 : 303.51 = 178.05 : x
  2. Step 2: Convert to fraction form
    220.10/303.51 = 178.05/x
  3. Step 3: Cross multiply
    220.10x = 303.51 × 178.05
  4. Step 4: Simplify right side
    220.10x = 54,039.05
  5. Step 5: Solve for x
    x = 54,039.05/220.10
  6. Step 6: Final answer
    x = 245.52

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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.