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Finding the Fourth Proportional to 290.84, 435.92 and 222.13

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Solution

The fourth proportional to 290.84, 435.92 and 222.13 is: 332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.84 : 435.92 = 222.13 : x
  2. Step 2: Convert to fraction form
    290.84/435.92 = 222.13/x
  3. Step 3: Cross multiply
    290.84x = 435.92 × 222.13
  4. Step 4: Simplify right side
    290.84x = 96,828.73
  5. Step 5: Solve for x
    x = 96,828.73/290.84
  6. Step 6: Final answer
    x = 332.93

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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.