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Finding the Fourth Proportional to 303.37, 454.86 and 156.94

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Solution

The fourth proportional to 303.37, 454.86 and 156.94 is: 235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.37 : 454.86 = 156.94 : x
  2. Step 2: Convert to fraction form
    303.37/454.86 = 156.94/x
  3. Step 3: Cross multiply
    303.37x = 454.86 × 156.94
  4. Step 4: Simplify right side
    303.37x = 71,384.59
  5. Step 5: Solve for x
    x = 71,384.59/303.37
  6. Step 6: Final answer
    x = 235.31

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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.