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Finding the Fourth Proportional to 152.00, 226.31 and 150.18

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Solution

The fourth proportional to 152.00, 226.31 and 150.18 is: 223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 226.31 = 150.18 : x
  2. Step 2: Convert to fraction form
    152.00/226.31 = 150.18/x
  3. Step 3: Cross multiply
    152.00x = 226.31 × 150.18
  4. Step 4: Simplify right side
    152.00x = 33,985.64
  5. Step 5: Solve for x
    x = 33,985.64/152.00
  6. Step 6: Final answer
    x = 223.59

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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.