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Finding the Fourth Proportional to 159.83, 240.06 and 153.26

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Solution

The fourth proportional to 159.83, 240.06 and 153.26 is: 230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.83 : 240.06 = 153.26 : x
  2. Step 2: Convert to fraction form
    159.83/240.06 = 153.26/x
  3. Step 3: Cross multiply
    159.83x = 240.06 × 153.26
  4. Step 4: Simplify right side
    159.83x = 36,791.60
  5. Step 5: Solve for x
    x = 36,791.60/159.83
  6. Step 6: Final answer
    x = 230.19

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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.