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Finding the Fourth Proportional to 294.96, 407.08 and 251.48

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Solution

The fourth proportional to 294.96, 407.08 and 251.48 is: 347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.96 : 407.08 = 251.48 : x
  2. Step 2: Convert to fraction form
    294.96/407.08 = 251.48/x
  3. Step 3: Cross multiply
    294.96x = 407.08 × 251.48
  4. Step 4: Simplify right side
    294.96x = 102,372.48
  5. Step 5: Solve for x
    x = 102,372.48/294.96
  6. Step 6: Final answer
    x = 347.07

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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.