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Finding the Fourth Proportional to 222.02, 306.54 and 148.48

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Solution

The fourth proportional to 222.02, 306.54 and 148.48 is: 205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.02 : 306.54 = 148.48 : x
  2. Step 2: Convert to fraction form
    222.02/306.54 = 148.48/x
  3. Step 3: Cross multiply
    222.02x = 306.54 × 148.48
  4. Step 4: Simplify right side
    222.02x = 45,515.06
  5. Step 5: Solve for x
    x = 45,515.06/222.02
  6. Step 6: Final answer
    x = 205.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.