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Finding the Fourth Proportional to 161.40, 240.78 and 150.03

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Solution

The fourth proportional to 161.40, 240.78 and 150.03 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.40 : 240.78 = 150.03 : x
  2. Step 2: Convert to fraction form
    161.40/240.78 = 150.03/x
  3. Step 3: Cross multiply
    161.40x = 240.78 × 150.03
  4. Step 4: Simplify right side
    161.40x = 36,124.22
  5. Step 5: Solve for x
    x = 36,124.22/161.40
  6. Step 6: Final answer
    x = 223.82

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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.