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Finding the Fourth Proportional to 293.30, 439.96 and 95.68

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Solution

The fourth proportional to 293.30, 439.96 and 95.68 is: 143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.30 : 439.96 = 95.68 : x
  2. Step 2: Convert to fraction form
    293.30/439.96 = 95.68/x
  3. Step 3: Cross multiply
    293.30x = 439.96 × 95.68
  4. Step 4: Simplify right side
    293.30x = 42,095.37
  5. Step 5: Solve for x
    x = 42,095.37/293.30
  6. Step 6: Final answer
    x = 143.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.