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Finding the Fourth Proportional to 294.33, 405.65 and 220.51

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Solution

The fourth proportional to 294.33, 405.65 and 220.51 is: 303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.33 : 405.65 = 220.51 : x
  2. Step 2: Convert to fraction form
    294.33/405.65 = 220.51/x
  3. Step 3: Cross multiply
    294.33x = 405.65 × 220.51
  4. Step 4: Simplify right side
    294.33x = 89,449.88
  5. Step 5: Solve for x
    x = 89,449.88/294.33
  6. Step 6: Final answer
    x = 303.91

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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.