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Finding the Fourth Proportional to 632.94, 949.61 and 222.06

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Solution

The fourth proportional to 632.94, 949.61 and 222.06 is: 333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.94 : 949.61 = 222.06 : x
  2. Step 2: Convert to fraction form
    632.94/949.61 = 222.06/x
  3. Step 3: Cross multiply
    632.94x = 949.61 × 222.06
  4. Step 4: Simplify right side
    632.94x = 210,870.40
  5. Step 5: Solve for x
    x = 210,870.40/632.94
  6. Step 6: Final answer
    x = 333.16

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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.