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Finding the Fourth Proportional to 152.36, 229.77 and 150.32

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Solution

The fourth proportional to 152.36, 229.77 and 150.32 is: 226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.36 : 229.77 = 150.32 : x
  2. Step 2: Convert to fraction form
    152.36/229.77 = 150.32/x
  3. Step 3: Cross multiply
    152.36x = 229.77 × 150.32
  4. Step 4: Simplify right side
    152.36x = 34,537.88
  5. Step 5: Solve for x
    x = 34,537.88/152.36
  6. Step 6: Final answer
    x = 226.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.