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Finding the Fourth Proportional to 293.40, 439.72 and 156.50

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Solution

The fourth proportional to 293.40, 439.72 and 156.50 is: 234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 439.72 = 156.50 : x
  2. Step 2: Convert to fraction form
    293.40/439.72 = 156.50/x
  3. Step 3: Cross multiply
    293.40x = 439.72 × 156.50
  4. Step 4: Simplify right side
    293.40x = 68,816.18
  5. Step 5: Solve for x
    x = 68,816.18/293.40
  6. Step 6: Final answer
    x = 234.55

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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.