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Finding the Fourth Proportional to 293.10, 439.56 and 156.07

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Solution

The fourth proportional to 293.10, 439.56 and 156.07 is: 234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 439.56 = 156.07 : x
  2. Step 2: Convert to fraction form
    293.10/439.56 = 156.07/x
  3. Step 3: Cross multiply
    293.10x = 439.56 × 156.07
  4. Step 4: Simplify right side
    293.10x = 68,599.15
  5. Step 5: Solve for x
    x = 68,599.15/293.10
  6. Step 6: Final answer
    x = 234.05

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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.