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Finding the Fourth Proportional to 293.84, 405.53 and 220.03

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Solution

The fourth proportional to 293.84, 405.53 and 220.03 is: 303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.84 : 405.53 = 220.03 : x
  2. Step 2: Convert to fraction form
    293.84/405.53 = 220.03/x
  3. Step 3: Cross multiply
    293.84x = 405.53 × 220.03
  4. Step 4: Simplify right side
    293.84x = 89,228.77
  5. Step 5: Solve for x
    x = 89,228.77/293.84
  6. Step 6: Final answer
    x = 303.66

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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.