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Finding the Fourth Proportional to 222.16, 306.41 and 148.36

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Solution

The fourth proportional to 222.16, 306.41 and 148.36 is: 204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.16 : 306.41 = 148.36 : x
  2. Step 2: Convert to fraction form
    222.16/306.41 = 148.36/x
  3. Step 3: Cross multiply
    222.16x = 306.41 × 148.36
  4. Step 4: Simplify right side
    222.16x = 45,457.46
  5. Step 5: Solve for x
    x = 45,457.46/222.16
  6. Step 6: Final answer
    x = 204.62

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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.