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Finding the Fourth Proportional to 235.02, 324.26 and 156.46

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Solution

The fourth proportional to 235.02, 324.26 and 156.46 is: 215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.02 : 324.26 = 156.46 : x
  2. Step 2: Convert to fraction form
    235.02/324.26 = 156.46/x
  3. Step 3: Cross multiply
    235.02x = 324.26 × 156.46
  4. Step 4: Simplify right side
    235.02x = 50,733.72
  5. Step 5: Solve for x
    x = 50,733.72/235.02
  6. Step 6: Final answer
    x = 215.87

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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.