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Finding the Fourth Proportional to 223.32, 333.49 and 174.68

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Solution

The fourth proportional to 223.32, 333.49 and 174.68 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.32 : 333.49 = 174.68 : x
  2. Step 2: Convert to fraction form
    223.32/333.49 = 174.68/x
  3. Step 3: Cross multiply
    223.32x = 333.49 × 174.68
  4. Step 4: Simplify right side
    223.32x = 58,254.03
  5. Step 5: Solve for x
    x = 58,254.03/223.32
  6. Step 6: Final answer
    x = 260.85

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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.