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Finding the Fourth Proportional to 150.23, 207.32 and 113.33

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Solution

The fourth proportional to 150.23, 207.32 and 113.33 is: 156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.23 : 207.32 = 113.33 : x
  2. Step 2: Convert to fraction form
    150.23/207.32 = 113.33/x
  3. Step 3: Cross multiply
    150.23x = 207.32 × 113.33
  4. Step 4: Simplify right side
    150.23x = 23,494.82
  5. Step 5: Solve for x
    x = 23,494.82/150.23
  6. Step 6: Final answer
    x = 156.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.