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Finding the Fourth Proportional to 293.15, 441.72 and 242.91

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Solution

The fourth proportional to 293.15, 441.72 and 242.91 is: 366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.15 : 441.72 = 242.91 : x
  2. Step 2: Convert to fraction form
    293.15/441.72 = 242.91/x
  3. Step 3: Cross multiply
    293.15x = 441.72 × 242.91
  4. Step 4: Simplify right side
    293.15x = 107,298.21
  5. Step 5: Solve for x
    x = 107,298.21/293.15
  6. Step 6: Final answer
    x = 366.02

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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.