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Finding the Fourth Proportional to 222.34, 306.46 and 160.07

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Solution

The fourth proportional to 222.34, 306.46 and 160.07 is: 220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.34 : 306.46 = 160.07 : x
  2. Step 2: Convert to fraction form
    222.34/306.46 = 160.07/x
  3. Step 3: Cross multiply
    222.34x = 306.46 × 160.07
  4. Step 4: Simplify right side
    222.34x = 49,055.42
  5. Step 5: Solve for x
    x = 49,055.42/222.34
  6. Step 6: Final answer
    x = 220.63

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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.