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Finding the Fourth Proportional to 223.16, 333.23 and 176.99

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Solution

The fourth proportional to 223.16, 333.23 and 176.99 is: 264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 333.23 = 176.99 : x
  2. Step 2: Convert to fraction form
    223.16/333.23 = 176.99/x
  3. Step 3: Cross multiply
    223.16x = 333.23 × 176.99
  4. Step 4: Simplify right side
    223.16x = 58,978.38
  5. Step 5: Solve for x
    x = 58,978.38/223.16
  6. Step 6: Final answer
    x = 264.29

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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.