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Finding the Fourth Proportional to 222.01, 305.35 and 178.25

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Solution

The fourth proportional to 222.01, 305.35 and 178.25 is: 245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.01 : 305.35 = 178.25 : x
  2. Step 2: Convert to fraction form
    222.01/305.35 = 178.25/x
  3. Step 3: Cross multiply
    222.01x = 305.35 × 178.25
  4. Step 4: Simplify right side
    222.01x = 54,428.64
  5. Step 5: Solve for x
    x = 54,428.64/222.01
  6. Step 6: Final answer
    x = 245.16

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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.