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Finding the Fourth Proportional to 222.94, 334.40 and 184.06

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Solution

The fourth proportional to 222.94, 334.40 and 184.06 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.94 : 334.40 = 184.06 : x
  2. Step 2: Convert to fraction form
    222.94/334.40 = 184.06/x
  3. Step 3: Cross multiply
    222.94x = 334.40 × 184.06
  4. Step 4: Simplify right side
    222.94x = 61,549.66
  5. Step 5: Solve for x
    x = 61,549.66/222.94
  6. Step 6: Final answer
    x = 276.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.