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Finding the Fourth Proportional to 153.99, 230.76 and 149.31

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Solution

The fourth proportional to 153.99, 230.76 and 149.31 is: 223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.99 : 230.76 = 149.31 : x
  2. Step 2: Convert to fraction form
    153.99/230.76 = 149.31/x
  3. Step 3: Cross multiply
    153.99x = 230.76 × 149.31
  4. Step 4: Simplify right side
    153.99x = 34,454.78
  5. Step 5: Solve for x
    x = 34,454.78/153.99
  6. Step 6: Final answer
    x = 223.75

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Why These Related Problems?

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