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Finding the Fourth Proportional to 223.10, 334.84 and 101.46

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Solution

The fourth proportional to 223.10, 334.84 and 101.46 is: 152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.10 : 334.84 = 101.46 : x
  2. Step 2: Convert to fraction form
    223.10/334.84 = 101.46/x
  3. Step 3: Cross multiply
    223.10x = 334.84 × 101.46
  4. Step 4: Simplify right side
    223.10x = 33,972.87
  5. Step 5: Solve for x
    x = 33,972.87/223.10
  6. Step 6: Final answer
    x = 152.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.