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Finding the Fourth Proportional to 222.45, 306.60 and 176.01

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Solution

The fourth proportional to 222.45, 306.60 and 176.01 is: 242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.45 : 306.60 = 176.01 : x
  2. Step 2: Convert to fraction form
    222.45/306.60 = 176.01/x
  3. Step 3: Cross multiply
    222.45x = 306.60 × 176.01
  4. Step 4: Simplify right side
    222.45x = 53,964.67
  5. Step 5: Solve for x
    x = 53,964.67/222.45
  6. Step 6: Final answer
    x = 242.59

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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.