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Finding the Fourth Proportional to 294.69, 440.16 and 251.16

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Solution

The fourth proportional to 294.69, 440.16 and 251.16 is: 375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.69 : 440.16 = 251.16 : x
  2. Step 2: Convert to fraction form
    294.69/440.16 = 251.16/x
  3. Step 3: Cross multiply
    294.69x = 440.16 × 251.16
  4. Step 4: Simplify right side
    294.69x = 110,550.59
  5. Step 5: Solve for x
    x = 110,550.59/294.69
  6. Step 6: Final answer
    x = 375.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.