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Finding the Fourth Proportional to 222.04, 306.54 and 139.19

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Solution

The fourth proportional to 222.04, 306.54 and 139.19 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.04 : 306.54 = 139.19 : x
  2. Step 2: Convert to fraction form
    222.04/306.54 = 139.19/x
  3. Step 3: Cross multiply
    222.04x = 306.54 × 139.19
  4. Step 4: Simplify right side
    222.04x = 42,667.30
  5. Step 5: Solve for x
    x = 42,667.30/222.04
  6. Step 6: Final answer
    x = 192.16

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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.