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Finding the Fourth Proportional to 293.04, 441.56 and 242.80

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Solution

The fourth proportional to 293.04, 441.56 and 242.80 is: 365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 441.56 = 242.80 : x
  2. Step 2: Convert to fraction form
    293.04/441.56 = 242.80/x
  3. Step 3: Cross multiply
    293.04x = 441.56 × 242.80
  4. Step 4: Simplify right side
    293.04x = 107,210.77
  5. Step 5: Solve for x
    x = 107,210.77/293.04
  6. Step 6: Final answer
    x = 365.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.