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Finding the Fourth Proportional to 223.16, 333.24 and 177

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Solution

The fourth proportional to 223.16, 333.24 and 177 is: 264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 333.24 = 177 : x
  2. Step 2: Convert to fraction form
    223.16/333.24 = 177/x
  3. Step 3: Cross multiply
    223.16x = 333.24 × 177
  4. Step 4: Simplify right side
    223.16x = 58,983.48
  5. Step 5: Solve for x
    x = 58,983.48/223.16
  6. Step 6: Final answer
    x = 264.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.