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Finding the Fourth Proportional to 222.48, 306.84 and 160.32

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Solution

The fourth proportional to 222.48, 306.84 and 160.32 is: 221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.48 : 306.84 = 160.32 : x
  2. Step 2: Convert to fraction form
    222.48/306.84 = 160.32/x
  3. Step 3: Cross multiply
    222.48x = 306.84 × 160.32
  4. Step 4: Simplify right side
    222.48x = 49,192.59
  5. Step 5: Solve for x
    x = 49,192.59/222.48
  6. Step 6: Final answer
    x = 221.11

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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.