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Finding the Fourth Proportional to 293.40, 405.24 and 223.80

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Solution

The fourth proportional to 293.40, 405.24 and 223.80 is: 309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 405.24 = 223.80 : x
  2. Step 2: Convert to fraction form
    293.40/405.24 = 223.80/x
  3. Step 3: Cross multiply
    293.40x = 405.24 × 223.80
  4. Step 4: Simplify right side
    293.40x = 90,692.71
  5. Step 5: Solve for x
    x = 90,692.71/293.40
  6. Step 6: Final answer
    x = 309.11

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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.