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Finding the Fourth Proportional to 293.01, 439.14 and 156.12

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Solution

The fourth proportional to 293.01, 439.14 and 156.12 is: 233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.01 : 439.14 = 156.12 : x
  2. Step 2: Convert to fraction form
    293.01/439.14 = 156.12/x
  3. Step 3: Cross multiply
    293.01x = 439.14 × 156.12
  4. Step 4: Simplify right side
    293.01x = 68,558.54
  5. Step 5: Solve for x
    x = 68,558.54/293.01
  6. Step 6: Final answer
    x = 233.98

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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.