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Finding the Fourth Proportional to 222.24, 306.78 and 148.53

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Solution

The fourth proportional to 222.24, 306.78 and 148.53 is: 205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 306.78 = 148.53 : x
  2. Step 2: Convert to fraction form
    222.24/306.78 = 148.53/x
  3. Step 3: Cross multiply
    222.24x = 306.78 × 148.53
  4. Step 4: Simplify right side
    222.24x = 45,566.03
  5. Step 5: Solve for x
    x = 45,566.03/222.24
  6. Step 6: Final answer
    x = 205.03

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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.