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Finding the Fourth Proportional to 223.32, 334.82 and 150.10

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Solution

The fourth proportional to 223.32, 334.82 and 150.10 is: 225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.32 : 334.82 = 150.10 : x
  2. Step 2: Convert to fraction form
    223.32/334.82 = 150.10/x
  3. Step 3: Cross multiply
    223.32x = 334.82 × 150.10
  4. Step 4: Simplify right side
    223.32x = 50,256.48
  5. Step 5: Solve for x
    x = 50,256.48/223.32
  6. Step 6: Final answer
    x = 225.04

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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.